[karma]

This is a common issue and it's very easily overlooked but VERY easily fixable. The problem is at some point or another, you synced your iDevice to iTunes and it asked you if you wanted to transfer the apps you got off of installous:

I'm assuming you were like me and checked the "Do not ask me again" box thinking that it would from now on just automatically transfer the apps without asking you. Incorrect...by checking that box, it doesn't save the choice you last used (in this case, "Transfer") but instead it automatically choose "Don't transfer" which causes it to delete the app on your iDevice after syncing.

To fix this, simply reset your iTunes warnings by right-clicking on your device on the left hand side:


Close iTunes, reopen it and re-sync. You should now get the box asking you if you want to transfer the apps. Do not check the "Do not ask me again" box. You must keep doing these transfers by manually clicking "Transfer" every time you sync and have installed new apps from Installous.

I hope this helps you guys that have been having this problem. I had the same thing happen to me and this fixed it.

----------- EDIT -----------
I should have included this in the original post, but it completely didn't cross my mind. If for some reason this doesn't fix your issue with iTunes deleting your cracked apps then make sure you have the correct version of AppSync installed on your device. Make sure the AppSync you have installed is actually for your firmware version. If it's the correct version, then try reinstalling AppSync by going into Cydia --> Manage --> Packages, then find AppSync and tap "Modify" at the top-right corner and tap "Reinstall".