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Well, there's no real way to know with that listing because the seller hasn't provided any of the computer's specifications. That said, pretty much anything that's less than about 15 years old should be fine for TS1 at this point: the only real concern is OS compatibility. It looks like they're running Windows 7 which should be fine as far as I know; people have had lots of problems playing TS1 on Windows 10, and I don't know if those problems have been fixable so far.
What I lack in decorum, I make up for with an absence of tact.