He 'campaigned for president/governor/mayor'. = He 'campaigned' for the presidency/governorship/mayoralty. [=he tried to be elected president/governor/mayor]
The group launched/mounted/led a 'campaign' to protect the area from commercial development.
The university is organizing a 'campaign' to attract a more diverse student population.
(..) time of uncertainty. I want to speak to you, human to human, because, with God's grace, this will be the last time you ever hear from me. When I started this campaign, I was saying a lot of shit because I was angry. And then I turned that anger into pushing buttons (..)2016 TvShow: South Park Title: Fort Collins Season: 20 Episode 6