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Out of curiosity (since I don't have any closed questions), is it possible to accept answers on closed questions?

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Yes

Yes, you can still accept it, and answers can still be voted on by everyone. Other users can also vote on your question.

Only locking prevents these actions.

Source: Can an answer of a closed question be accepted? [duplicate]

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Yes, this is possible (see @DavidPostill's answer) and moreover, it happens quite often. Here are over 2,500 cases where a Super User question was closed and an answer was accepted next day or even later.

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