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N.H. Rev. Stat. Ann. § 659:3

Early Closing of Polls

Source. 1979, 436:1. 1988, 10:1, eff

Notwithstanding any provision of law to the contrary, the voters present at the polling place may vote to close the polls at any time that the number of those who have voted plus the number of absentee ballots received at the polls equals the number of names on the checklist.

Official source: New Hampshire General Court. Reproduced from public-domain New Hampshire statutes; confirm against the official source for the current text. Not legal advice.