N.J. Stat. § 19:31-13.1
When a person appears to register in any county of this State, and in answer to the statement on the registration forms, to wit: "Municipality, house number and street address from which last registered," such person gives information as to previous registration in another county of this State, the commissioner of registration of the county in which such person newly registers shall forthwith notify the commissioner of registration of the county in which such person was last registered, by postal card signed by the registrant, of the new registration, upon receipt of which information the said commissioner shall transfer the registration forms of such person to the inactive file without any publication thereof being required.
N.J.S. § 19:31-13.1