If the ship is Jump capable and in any shape to haul off it will end up in a galactic chop shop.

Theev probably runs one to keep things Core book related.
What to do with a ship given the 1st edition warnings of molecular markings is up to each GM. personally the trope of the used and slightly shady ship and parts dealer is too good to pass up, so I figure ships would be chopped into pieces and find homes in tramp ships all over. Your mileage may vary depending on law level and whether or not serial numbers would be passed along to planets in a Sector.