Upon the allowance and credit to the tax collector of insolvent taxes and taxes in litigation, as provided in Sections 40-5-24 and 40-5-25, the county commission shall, on behalf of the county, state a new account against the collector for the amounts of insolvent county taxes and county taxes in litigation so allowed and credited; and, upon allowance by the Comptroller of the credits for insolvent state taxes and state taxes in litigation, as provided in Section 40-5-25, a new account must be stated by the Comptroller against the collector for the amounts of insolvent state taxes and the amounts of state taxes in litigation so allowed and credited; and the collector shall remain charged with such sums until the liability is discharged, as hereinafter provided.