Just saw your posting. Yes, this has gone on since the Fall 9.1.8 Logic upgrade. There's a problem between the new Logic, Play, and the iLok. Tech says they're working on it, but it's been months now. The only workaround is to revert to Logic 9.1.7 and put up with constant Apple reminders to upgrade.
Go to this thread for a restore method: https://discussions.apple.com/message/20423694#20423694.