In Texas the plates belong to the owner, not the vehicle. The State advises you to pull the plates when you sell or trade the vehicle. Not required but certainly advisable in case the new owner doesn't register it in a timely manner. If the vehicle gets into trouble with your tags.....guess who they are looking for.
I believe this info is on the title transfer and /or the title itself.
Pretty sure this is correct....if in doubt check Texas.gov
