New Jersey Statutes Title 19. Elections 19 § 3-25

When a person shall remove or be removed from office because his nomination or election thereto has been declared null and void, such office shall be deemed to be vacant.

When an equal number of votes shall have been given to two or more persons to fill any office for which they shall by law be qualified, the office shall be deemed to be vacant.

When a person who shall have been elected or appointed to any office as mentioned in section 19:3-5 of this title shall, during the term for which he shall have been elected, or appointed, be elected or appointed to another of such offices, and shall accept the same, such acceptance shall be deemed to make vacant the office to which he shall have been previously elected or appointed; and he shall not be permitted to qualify or take such new office until he shall have formally relinquished the office which he may have been holding.

When a person shall, at an election, be elected to two or more of such offices, he shall accept but one of the same, and the other or others shall be deemed vacant.

When a person who shall be elected a member of the senate or general assembly of this state shall neglect or refuse for ten days next after the commencement of the session of such house to take his seat therein, or to send to such house a satisfactory excuse, or shall during any session of such house be absent unremittingly for ten days, unless expressly excused by such house from attendance thereon, or shall remove from and cease to be a resident of the state or of the county for which he may have been elected, his office shall be deemed vacant.