What is the ruling on housing that is not a partnership, where the bank has no involvement, and its rent is paid and counted towards the total price of the dwelling, or the difference in its price is paid and then it is owned?

Purchasing a house through rent-to-own or lease-to-own is a فاسد (invalid/corrupt) contract in most of its forms, and it is impermissible except under specific conditions that are rarely met in the common contracts today. Therefore, the questioner's sale of the aforementioned house is invalid because it is selling something one does not own, as he will not own the house until all installments are paid. He must return the money to the buyer.