In the TNG episode Clues, the crew
deliberately wipe their memory of an alien race who want to remain undiscovered. This results in their losing one full day of memory (and presumably, at the end of the episode, two days).
However, when the Enterprise next interacts with Starfleet (eg docks at a space station or comes into contact with a time beacon1), won't they do some kind of clock synchronisation and then realise that they've:
missed a day (or two)?
Is there any way, in universe, that this can be explained?
This question was inspired by this: Do ships at warp experience time dilation?
1 Thanks to Richard for this tip.