How many days of inactivity before Bitizens leave?

Given the lack of end-game content, I'm starting to play less. I have heard that Bitizens may leave your Death Star automatically if you do not play for a certain number of days, which would screw up some of my 3-star businesses. Is this true, does this happen after a certain number of days of not playing and, if so, how many days?

Solution 1:

I just tested this on my iPhone and I do not think this is true. I know the game has some anti-cheating features in it, but I set my phone to airplane mode, launched the game, closed the game, changed the time on my phone from today (1/20/2014) to a future date (2/15/15) and then relaunched the game. I was awarded coins for all of the products that have sold in the simulated 391 days, but I did not lose any bitizens for the simulated inactivity.

This would make me believe that there is no penalty for being inactive.