Can you install your Sims 2 on more than 1 computer?

Yes, you can install one copy of Sims 2 on as many computers as you want. However, you need the Sims 2 disc to start up the game. You can take this Disc out after you have gotten into a Neighbourhood and start up the other Sims 2, however, the Disc will be required for loading screens sometimes (Neighbourhood -> House etc.)