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.
(..) - The rooms, When do I ever complain that you experiment on my dog? - Our dog! It's our dog. - On the... the dog! But I do take issue, is your campaign to sabatage my relationship to Mary. I understand. - You do? - I do. - I don't think you do. (..)2009 Sherlock Holmes