Any school district which shall execute a lease rental contract under the provisions of Section 37-7-301(v) after June 30, 1987 or in connection with a sale-leaseback or lease-leaseback arrangement authorized under the provisions of Section 37-7-355 shall annually appropriate sufficient monies to pay the lease rentals stipulated to be paid by such school district in the lease contract and/or lease purchase agreement, which lease contract and/or lease-purchase agreement shall constitute a general obligation of the school district. Any lease contracts entered into under the authority granted by Section 37-7-301(v) or 37-7-351 through 37-7-359 shall not be considered bonded indebtedness for purposes of the limitations of indebtedness contained in Sections 37-59-5 and 37-59-7 and shall not be subject to such limitations. Any millage being initially levied on or before July 1, 1991, to fund leases under this section shall remain in force until such time as the lease term has expired and the school district has fulfilled all of its obligations thereafter.