convictions which are outstanding and unexpunged
Alternative: outstanding convictions (other than expunged convictions)
Explanation: In English in this context, following a negative, или should be translated "and".

It is about unspent convictions,непогашенные судимости


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Note added at 24 mins (2021-02-24 10:44:25 GMT)
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неснятые и непогашенные одно и тоже
Можно с одним словом unspent.

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Note added at 32 mins (2021-02-24 10:52:24 GMT)
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nspent convictions are those records that have not yet reached this defined time and will appear on a Basic Criminal Record Check. For exact time periods relating to types of offence please contact Disclosure Scotland or the Disclosure and Barring Service (DBS) directly. Any conviction, caution, reprimand or warning that an individual may receive is held on their Criminal Record, on the Police National Computer. There exist some offences that are classed as ‘non-recordable’ meaning they are not stored on the PNC and are instantly ‘spent’. This is is most commonly ‘on the spot’ fines but for more information contact the DBS directly.
https://www.ddc.uk.net/question/what-are-spent-and-unspent-c...


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Note added at 1 hr (2021-02-24 11:20:50 GMT)
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неснятые not expunged
непогашенные unspent
Непогашенные -означает unspent, не unexpunged,
одним словом unspent возможно, но с словом unexpunged точно нет, потому что unexpunged не означает "непогашенные судимости"

Чтобы не упустить слово "неснятые".

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Note added at 20 мин (2021-02-24 10:40:24 GMT)
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В отношении "непогашенных судимостей" также употребляется unexpired convictions.

См.:

- https://www.google.ru/search?newwindow=1&ei=DCs2YOPIK-6TwPAP...

- https://www.google.ru/search?q=outstanding convictions непог...

- https://www.google.ru/search?newwindow=1&ei=tSw2YJqCKYGwrgT3...

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Note added at 1 час (2021-02-24 11:43:06 GMT)
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Что именно установлено ст. 86 УК РФ и как это переводят на английский язык?

Статья 86. Судимость

1. Лицо, осужденное за совершение преступления, считается судимым со дня вступления обвинительного приговора суда в законную силу до момента погашения или снятия судимости. Судимость в соответствии с настоящим Кодексом учитывается при рецидиве преступлений, назначении наказания и влечет за собой иные правовые последствия в случаях и в порядке, которые установлены федеральными законами.

2. Лицо, освобожденное от наказания, считается несудимым.

3. Судимость погашается:

а) в отношении лиц, условно осужденных, - по истечении испытательного срока;

б) в отношении лиц, осужденных к более мягким видам наказаний, чем лишение свободы, - по истечении одного года после отбытия или исполнения наказания;

в) в отношении лиц, осужденных к лишению свободы за преступления небольшой или средней тяжести, - по истечении трех лет после отбытия наказания;

г) в отношении лиц, осужденных к лишению свободы за тяжкие преступления, - по истечении восьми лет после отбытия наказания;

д) в отношении лиц, осужденных за особо тяжкие преступления, - по истечении десяти лет после отбытия наказания.

4. Если осужденный в установленном законом порядке был досрочно освобожден от отбывания наказания или неотбытая часть наказания была заменена более мягким видом наказания, то срок погашения судимости исчисляется исходя из фактически отбытого срока наказания с момента освобождения от отбывания основного и дополнительного видов наказаний.

5. Если осужденный после отбытия наказания вел себя безупречно, а также возместил вред, причиненный преступлением, то по его ходатайству суд может снять с него судимость до истечения срока погашения судимости.

6. Погашение или снятие судимости аннулирует все правовые последствия, предусмотренные настоящим Кодексом, связанные с судимостью.
https://legalacts.ru/kodeks/UK-RF/obshchaja-chast/razdel-iv/...

Article 86. Criminal Record

1. A person sentenced for a committed crime shall be deemed to be convicted from the day of the entry of the court's sentence into legal force, until such time as the conviction is quashed or struck from his criminal record. A previous conviction in compliance with this Code shall be taken into account in the event of repetition of crime or when inflicting punishment and shall entail other legal effects in the instances and in the procedure which are established by federal laws.

2. A person released from punishment shall be deemed to be non-convicted.

3. Criminal records shall be expunged in respect of the following persons:

a) persons convicted conditionally - upon the expiry of the period of probation;

b) persons sentenced to penalties milder than deprivation of liberty - upon the expiry of one year after punishment was completed or executed;

c) persons sentenced to deprivation of liberty for crimes of light or average gravity -upon the expiry of three years after punishment was completed;

d) persons sentenced to deprivation of liberty for grave crimes - upon the expiry of six years after punishment was completed;

e) persons sentenced for especially grave crimes - upon the expiry of eight years after punishment was completed.

4. If a convicted person has been released from punishment short of term, in the statutory procedure, or if the remaining part of punishment has been replaced with a milder penalty, then the period for cancellation of the criminal record shall be counted on the basis of the actually served period of punishment from the time of release from serving the basic and additional penalties.

5. If after the punishment has been completed the convicted person behaved faultlessly, the court of law may, upon his motion, remove his criminal record before the expiry of the normal term for annulling the record of conviction.

6. The annulling or removing of a criminal record shall annul all the legal consequences related to the record of conviction.
https://www.google.ru/url?sa=t&rct=j&q=&esrc=s&source=web&cd...

Article 86. Criminal Record

1. A person sentenced for a committed crime shall be deemed to be convicted from the day of the entry of the court's sentence into legal force, until such time as the conviction is quashed or struck from his criminal record. In keeping with this Code, criminal record shall be considered in cases of recidivism of crimes and during the imposition of punishment.

2. A person released from punishment shall be deemed to be non-convicted.

3. Criminal records shall be expunged in respect of the following persons:

a) persons convicted conditionally - upon the expiry of the period of probation;

b) persons sentenced to penalties milder than deprivation of liberty - upon the expiry of one year after punishment was completed;

c) persons sentenced to deprivation of liberty for crimes of small or average gravity - upon the expiry of three years after punishment was completed;

d) persons sentenced to deprivation of liberty for grave crimes - upon the expiry of six years after punishment was completed;

e) persons sentenced for especially grave crimes - upon the expiry of eight years after punishment was completed.

4. If a convicted person has been released from punishment short of term, in the statutory order, or if the remaining part of punishment has been replaced with a milder penalty, then the period for expunging the criminal record shall be counted on the basis of the actually served period of punishment since the time of release from serving the basic and additional penalties.

5. If after the punishment has been completed the convicted person behaved faultlessly, the court of law may, on his motion, strike his criminal record before the expiry of the normal term for expunging the record of conviction.

6. The expunging or striking of a criminal record shall annul all the legal consequences related
to the record of conviction.
https://www.google.ru/url?sa=t&rct=j&q=&esrc=s&source=web&cd...

Article 86. Criminal Record

1. A person sentenced for a committed crime shall be deemed to be convicted from the day of the entry of the court's sentence into legal force, until such time as the conviction is quashed or struck from his criminal record. In keeping with this Code, criminal record shall be considered in cases of recidivism of crimes and during the imposition of punishment.

2. A person released from punishment shall be deemed to be non-convicted.

3. Criminal records shall be expunged in respect of the following persons:

a) persons convicted conditionally - upon the expiry of the period of probation;

b) persons sentenced to penalties milder than deprivation of liberty - upon the expiry of one year after punishment was completed or executed;

c) persons sentenced to deprivation of liberty for crimes of small or average gravity - upon the expiry of three years after punishment was completed;

d) persons sentenced to deprivation of liberty for grave crimes - upon the expiry of six years after punishment was completed;

e) persons sentenced for especially grave crimes - upon the expiry of eight years after punishment was completed.

4. If a convicted person has been released from punishment short of term, in the statutory order, or if the remaining part of punishment has been replaced with a milder penalty, then the period for expunging the criminal record shall be counted on the basis of the actually served period of punishment since the time of release from serving the basic and additional penalties.

5. If after the punishment has been completed the convicted person behaved faultlessly, the court of law may, on his motion, strike his criminal record before the expiry of the normal term for expunging the record of conviction.

6. The expunging or striking of a criminal record shall annul all the legal consequences related to the record of conviction.
https://www.google.ru/url?sa=t&rct=j&q=&esrc=s&source=web&cd...