Not OP but he most probably meant lease-to-own. In my experience it's a financing model that spans the equipment's economical lifetime. Let's say 3 years for a server box. In the end of the contract you either pay the last instalment, which is bigger (5x-10x) than usual and keep it, or you return the equipment and get a new one.

There are many variations of this scheme but that's more or less the idea.

Probably "Lease To Own" a.k.a. "hire purchase" which is kinda similar to buying something on long-term credit.