"To support the campaign" means to help or show approval for a specific cause, goal, or movement, typically through actions, donations, or spreading awareness. Full definition
He claims at least 120 Labour MPs support his campaign for an amendment or referendum, although admits support is difficult to gauge during the parliamentary recess. (politics.co.uk)
The governor promised to help deliver a higher minimum wage, support campaign finance reform and a handful of other progressive wish list items. (cityandstateny.com)
Businesses in close proximity of the schools involved are being urged to help support the campaign by spreading the word and offering healthier choices for families. (qaeducation.co.uk)