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Kelly is a top Democratic recruit to take on Republican Martha McSally in one of the most closely contested Senate races of the 2020 election.
McSally is a former Republican congresswoman who was appointed to McCain's seat last year after she narrowly lost to Democrat Kyrsten Sinema. McSally leaned heavily on her record as the first woman to fly a combat mission as a fighter pilot, but she was hurt by her embrace of President Donald Trump.
If Kelly is nominated, the race would pit a Navy veteran and astronaut against a trailblazing Air Force pilot in the contest to replace McCain, a legendary Navy flyer who was famously shot down and held captive.
Democrats are eagerly watching the Arizona contest, having already defeated McSally in a Senate race just a few months ago.
Kelly and Giffords have for years pushed Congress to enact gun control measures with little success. They shifted their focus to state legislatures in recent years, helping to strengthen background checks and domestic violence protections, among other modest protections.
Kelly and Giffords were in Galveston in 2017 for the commission of the warship USS Gabrielle Giffords.
RELATED: Warship USS Gabrielle Giffords commissioned in Galveston
Gov. Doug Ducey appointed McSally to the vacant Senate seat after his first appointee, former Sen. Jon Kyl, resigned after only a few months in office.
The seat is a top target for Democrats because McSally just lost a Senate race in November and Democrats posted a strong showing in the November election, winning three statewide contests and picking up legislative and congressional seats.
The 2020 election will decide who finishes the last two years of McCain's term. The winner would have to run again for a full six-year term in 2022.
U.S. Rep. Ruben Gallego of Phoenix is also considering a Senate run, which would likely set up a tough fight for the Democratic nomination.
Former Arizona Attorney General Grant Woods, a lifelong Republican who became a Democrat and a fierce critic of Trump, announced last week that he won't run, saying he didn't want to fight in a contested Democratic primary.
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