Election (and war) states are "best of 7", and end once the result is no longer in doubt. So if it keeps going like that it'll end when it reaches 0-4.
Most ways of changing a faction's influence don't do anything to influence during an election (or war) - instead, they might go towards whether the faction wins the conflict that day. So they'll stay locked together until the conflict is over, then the winner will get a boost and the loser will drop somewhat.
(Whether or not there's anything else to do while the election continues depends on what your short- and long-term goals are)