Republicans won a majority of seats in the U.S. Senate in Tuesday's elections but lingering questions over the purported results of a few races have left it unclear just how large that majority advantage will be in the next session.

GOP candidates Kari Lake of Arizona and Eric Hovde of Wisconsin have both declined to formally concede defeat despite their respective races being called in favor of their Democratic opponents, as they doubt the validity of the reported ballot counts, according to Newsweek.

Likewise, incumbent Sen. Bob Casey (D-PA) has similarly refused to concede his reported loss to Sen.-elect Dave McCormick, as he believes there are still uncounted ballots more than a week later that could flip the reported results in his favor.

Republican Hovde hasn't conceded Wisconsin race

The Wisconsin Examiner reported this week that Republican Senate candidate Eric Hovde did not concede but nonetheless seemed to admit in a radio interview that he'd suffered a "painful loss" to incumbent Sen. Tammy Baldwin (D-WI), who was declared the winner with a lead of less than 30,000 votes, or less than 1% of the total ballots cast.

Hovde has raised questions about the disparity between ballots cast and registered voters in the Democratic stronghold of Milwaukee as well as a massive dump of ballots to be tabulated in the early hours of Wednesday after the election that went overwhelmingly for Baldwin and conveniently just barely surpassed the sizeable lead he'd initially established the night before.

In a video message posted to X, Hovde laid out those facts and said, "While I’m deeply concerned, asking for a recount is a serious decision that requires careful consideration."

Kari Lake commiserates with Hovde

According to Newsweek, Arizona Republican Senate candidate Kari Lake shared Hovde's post and wrote, "Praying for you, @EricHovde. I've been there."

Lake was undoubtedly referring to the 2022 Arizona gubernatorial race that she never conceded and continues to assert was compromised by ballot fraud in favor of her Democratic opponent and declared victor, Gov. Katie Hobbs.

Once again, according to the Arizona Mirror, Lake has not yet conceded the Senate race to the declared winner, Rep. Ruben Gallego (D-AZ), whom she has not contacted since the election, given expressed doubts and concerns about the reported ballot counts in certain critical counties.

Democratic Sen. Casey hasn't yet conceded

Yet, while the media has focused sharply on the two GOP candidates who have not yet conceded their Senate races, there is a prominent Democratic senator who has also not yet acknowledged his reported loss to his Republican challenger -- Sen. Bob Casey of Pennsylvania.

According to The Daily Pennsylvanian, the race was called in favor of GOP candidate Dave McCormick two days after the election, but Casey insists that there are tens of thousands of ballots yet to be counted, predominately in Democrat-leaning Philadelphia and its suburbs, that he expects will overtake the less than 30,000 vote lead McCormick holds.

"As state officials have made clear, counties across Pennsylvania are still processing ballots and need time to tabulate remaining votes," a Casey campaign spokesperson said Monday. "There are more than 100,000 ballots left to be counted -- including tens of thousands of provisional ballots in counties favorable to Senator Casey -- and just yesterday, officials reaffirmed that tens of thousands of mail ballots remain."

Concerns must be addressed

Election integrity continues to be a top concern for many voters, and while this year's elections appear to have been far more secure than the dubious contests in 2020, there are still some suspicions of possible ballot fraud in certain locations that compromised the reported results.

Unless or until those alleged electoral shenanigans are thoroughly addressed and widespread confidence in election procedures is restored, candidates and their supporters on the short end of disputed results will likely keep raising doubts about the purported integrity of the ballot counting processes.