What happens to the plates?
Off — move them to your next car, or cancel and cut them in half
If you buy another vehicle of the same type, you can move the plates to it instead of canceling. Massachusetts is explicit that plates do NOT have to be returned to the RMV when the registration is canceled — and then tells you to destroy them: once canceled you must recycle or destroy your plates, cutting them in half and discarding them, or recycling them if your town's center accepts them. Once the registration is canceled the vehicle cannot be driven on any public way in the Commonwealth, so do it after the buyer has gone, not before. Moving the plates has a deadline: seven calendar days from the date you dispose of this vehicle.
Source: Massachusetts RMV, Cancel your vehicle registration (license plates)