(1) The following motor vehicles are exempt from the registration renewal requirements of 61-3-312:
(a) motor vehicles owned or leased and operated by the government of the United States or by the state of Montana or a political subdivision of the state;
(b) motor vehicles registered as part of a fleet under 61-3-318; and
(c) apportionable motor vehicles registered as part of a fleet, as defined in 61-3-712, that is subject to the provisions of 61-3-711 through 61-3-733.
(2) Unless a transfer of ownership occurs, a travel trailer, trailer, semitrailer, pole trailer, motorcycle, or quadricycle, including a motorcycle or quadricycle registered only for off-highway use under Title 23, chapter 2, part 8, is permanently registered.