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“There’s always cheating, probably, in every election,” Mr. Masters said. “The question is, what’s the cheating capacity?”

A Masters aide, Katie Miller, sent The Times an August article in The Arizona Republic in which Mr. Masters said there was “evidence of incompetence” but not of fraud in the state’s primary election. Ms. Miller declined to say if Mr. Masters would respect the November results.

Mr. Kelly “has total trust in Arizona’s electoral process,” said a spokeswoman, Sarah Guggenheimer.

An aide to Mr. Vance, Taylor Van Kirk, cited the candidate’s primary-season endorsement from Ohio’s Republican secretary of state, Frank LaRose. At the time, Mr. Vance predicted “a successfully run primary election.” But Ms. Van Kirk would not say if Mr. Vance would recognize the November outcome. Mr. Vance did not respond to messages.

Mr. Vance’s Democratic opponent, Representative Tim Ryan, “will accept the results of the election,” said his spokeswoman, Jordan Fuja.

In Alaska, Republican hesitancy to accept election results centers on the new ranked-choice voting system. After losing an August special election for the House, Sarah Palin warned baselessly that the method was “very, very potentially fraught with fraud.”

Tim Murtaugh, a spokesman for Ms. Tshibaka, who is challenging Ms. Murkowski, a fellow Republican, said his candidate would not commit to honoring the race’s outcome. Mr. Murtaugh said — not without merit — that the new voting system “was installed to protect Lisa Murkowski.”