N.J. Stat. Ann. § 19:53C-18

24. The decision of a majority of the county board on any question concerning a provisional ballot matter shall be deemed the decision of the board and final. If any member of the board dissents from any decision and wishes to make the dissension known to avoid any of the consequences which may result from that decision, the member may record the dissent in the signature copy register, if it is available, or in a note signed and dated. If the dissent is in the form of a note, it shall be appended to or recorded on the signature copy register afterwards by the superintendent of elections or the commissioner of registration, as shall be appropriate.