The days played count is reset to a specific number when closing and reopening the game, even after previously saving the game.
Comments 2
Cleaning up old tickets: This ticket had been set to 'Awaiting Response', but has not received a response from the reporter (~3 months+) so is being closed as Incomplete. If you feel this is still a valid issue then please comment, or create a new ticket following the Issue Guidelines which includes steps to reproduce the problem.
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Are you using the Save & Quit button from the pause menu and waiting for the app to return to the main menu before you close it? If not, you are not allowing all of your world data to save.