No vehicle subject to the provisions of this article shall be registered or reregistered until it has passed an emissions inspection or has been issued an emissions inspection waiver. Any (i) proof of compliance with emissions standards and emissions inspection requirements and (ii) emissions inspection waiver issued for any motor vehicle shall be valid for two years from the end of the month in which it is issued, regardless of any sale or trade of the motor vehicle for which either document was issued during that time, unless such motor vehicle has failed on-road testing pursuant to § 46.2-1178.1 and has not subsequently passed an emissions inspection or received a waiver. Motor vehicles being titled for the first time shall be considered to have valid emissions inspection certificates for a period of four years from the month of first titling. The Commissioner of Motor Vehicles may enter into an agreement with the Director whereby the Department of Motor Vehicles may refuse to register or reregister those motor vehicles subject to emissions inspection programs set forth in this article if the registration period for such vehicles exceeds the valid emissions inspection period by a period of time to be determined by the Director in consultation with the Department of Motor Vehicles and the Commissioner. Owners of motor vehicles that are not registered with the Department of Motor Vehicles shall maintain such records pertaining to all vehicles located or operated in the areas specified in § 46.2-1178 as the Board may by regulation require. Such records shall contain proof of compliance with this article and be made available to the Department of Environmental Quality upon the Department’s request.