Any military personnel on active duty in this state operating, using, or storing a vessel on the waters of this state that has a registration number in full force and effect which has been awarded to it pursuant to a federally approved numbering system of another state or by the United States Coast Guard in a state without a federally approved numbering system, or a federally documented vessel with a valid registration in full force and effect from another state shall not be required to register his or her vessel in this state while such certificate of registration remains valid; but, at the expiration of such registration certificate, all registration and titling shall be issued by this state. In the case of a federally documented vessel, the issuance of a title is not required by this chapter.