Two of those contests could come to conclusion this weekend.
Saturday is election day in Louisiana's 2nd and 4th Congressional Districts, where contests were delayed due to Hurricane Gustav.
The race in the 4th district is to replace retiring 10-term Republican congressman Jim McCrery. Democrat Paul Carmouche is facing off against Republican John Fleming in a campaign that's attracting national attention and money.
In the 2nd Congressional district, nine-term Democratic Rep. William Jefferson is running for re-election against Republican Anh "Joseph" Cao. Jefferson's been battling scandals and a federal indictment for the past three years, but the district, in and around New Orleans, is mostly African-American and heavily Democratic.
In two remaining districts, the vote counts are in dispute. In Virginia's 5th Congressional district, Republican Virgil Goode is calling for a recount. The nine-term Congressman trails Democrat Tom Perriello by 745 votes out of nearly 310,000 cast.
And the battle to succeed eight-term GOP Rep. Deborah Pryce in Ohio's 15th Congressional District is headed to court. Republican Steve Stivers leads Democrat Mary Jo Kilroy by 149 votes out of nearly 260,000 cast. Ohio's state Supreme Court will rule on whether to count thousands of disputed provisional ballots.
But at least one fight whose results were up in the air nearly a month after voters headed to the polls has officially drawn to a close, with the GOP holding on to a closely-contested House seat.
Republicans held on to a seat in northern California when Democrat Charlie Brown conceded defeat Tuesday to Republican state senator Tom McClintock in the battle for California's 4th congressional district. Brown's concession came a day after the counties in the district turned in their final vote counts.
Four congressional races have yet to be decided
Those tallies gave McClintock a lead of more than 1,500 votes out of nearly 370,000 cast. Given his narrow loss, Brown could have asked for a recount, but opted to concede. The seat was held by retiring nine-term Republican congressman John Doolittle, who was under investigation in connection with the Jack Abramoff lobbying scandal.