On terms a municipality considers desirable, fair, and advantageous and with the approval of a majority of the governing body, a municipality may make a contract with a civic center authority under which the authority, for the benefit of the municipality, exercises its authority under Section 281.044. Under the contract, the authority may provide to the municipality all or part of its authorized services and facilities, in or out of the municipality’s boundaries. The term of the contract may not be longer than 40 years.