The phrase "influence elections" means trying to affect or alter the outcomes of elections by using various methods like spreading false information, manipulating votes, or swaying public opinion. Full definition
Are you claiming that the Russian hacks influenced the election in and of themselves? (politics.stackexchange.com)
At present only activities designed with the intent of influencing an election result are regulated. (politics.co.uk)
This question also lets us analyse how firm party support is, and so how projected voter turnout levels will influence the election outcome. (totalpolitics.com)