A marketing campaign is broader and includes various strategies to achieve marketing objectives, while an advertising campaign is specifically focused on paid advertising efforts to promote a product or brand.
An advertising campaign is often a component of a larger marketing campaign.
For example, a marketing campaign for a new product launch might include an advertising campaign (TV ads, social media ads), but also involve public relations (press releases, media events), influencer partnerships, and content creation (blog posts, videos).
Advertising campaign is a one among the paid form of promotional tools, while marketing campaign is very inclusive and reaching audience through multiple approaches- making your product affordable, accessible and appealing.