If I change the listing page content after publishing ads, will it affect the running ads?

Changing the listing page content won't affect the running ads, except when the listing page's link is changed.

If the listing's link is changed, the ad will continue to direct to the link that was published with the Ad.  This is because the landing page of the ad is the listing link. 

If you need to change the listing page link contact us immediately so we can cancel the running campaign and a new one can be created with the new listing page link.