How is a partnership in an educational center liquidated after 7 months, given the disputes over management and profits, and what is the ruling on deducting half the cost of advertising from a partner who did not pay anything towards it and did not benefit from its profits?

The transaction mentioned is a فاسدة ijara (invalid lease) due to the unknown rent. In this case, the fair market rent (أجرة المثل) determined by experts is obligatory.

The profits belong to the questioner, who must pay the fair market rent to the owner of the place and the furniture.

The transaction is settled by comparing what the owner of the place received with the fair market rent. If it was less, the questioner must complete it for him. If it was more, the owner is entitled to this surplus.

The furniture is owned equally by both parties. Therefore, the questioner must pay the value of his partner's extra share or return it to him, unless they agree to sell it.