They would expire. But you can download and save all the tests as PDFs along with kaplan answer explanations for the aamc tests. That's what I did just to be safe in case I decide to push my test, my course would have expired. I would also call and try to extend the course for free. I have been told they will extend it for a little bit but If they don't extend it for as long as you need them to, than do what I did.
PM if you have any questions about how to download and save if you cant figure it out.
Good luck