You can't obviously sue a newspaper if it is reporting what someone else has said, and they have evidences he/she said it. Actually, it's also a journalist job to report what some people say.
Ads published on newspapers and TV in many countries are controlled by specific agencies - i.e. ASA in the UK. There are rules about what kind of ads, if any, could be displayed in given hours or type of contents (i.e. children ones) - and misleading ads are not allowed.
Tracking the origin of the ad is quite easy, and if the ad infringes the rules someone is liable.