If the accused is not arrested under the governor's warrant of arrest and rendition by the expiration of the time specified in the warrant, bond, or undertaking issued under 46-30-302 and 46-30-303, a judge or magistrate may discharge the accused or may recommit the accused for a further period of 60 days or a supreme court justice or judge of a court of record may again take bail for the accused's appearance and surrender, as provided in 46-30-303, for a period not to exceed 60 days after the date of the new bond or undertaking.