If carats are being transferred I am going with yes for timed items. Maybe try asking this person here. He seems to know a lot about the transfers. http://forums.playredfox.com/index.php?threads/transfer-phase-faq.1474/page-2
But like I'm wondering if it was for example a 30 day Hitman that was activated and only had 20 days left, then what would probably happen?