Will my site rank better after I running ads

SEO-wise - no. Advertising links are no-followed so link juice won't pass through.

But on the back-end, it may - if your site is well structured for user experience and anticipates + answers visitors needs, they could share your site and build links for you.
 
Text ad links do better for seo.It can help search engines to know the keywords that your website should be ranked for.But doing the campaign wisely is the key.you must know,where you are putting your efforts.
 
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