Time limit on adding notes for CLOSED tickets

I'm finding that some teachers are holding onto the first ticket they ever created and are constantly responding to that in order to get help. If one puts in a ticket for a printer jam I'd like to give 24...maybe 48 hours for the user to respond (in most cases it's not even needed) but after that amount of time has passed, that's it, the users CAN NOT add anymore to a closed ticket. This will be helpful for those who put in a ticket one day because their projector is down, but then 2 or 3 weeks later add notes to the same ticket, but now they're having issues connecting to the WiFi on their iPad. ALSO, if notes ARE ADDED it would be nice for the system to auto open/assign that ticket again because the email notifications can be easily missed.