Right now a third party can run an ad and say what they want; which is sorta cool that's what freedom of speech is all about. But, it does seem to me that a political ad oughta be cleared by a candidate or party so that some accountability can be ascribed. I don't think any ad should air unless somebody takes responsibility for it.
I don't think they have any control, by law. It is what it is, granted the cost of running them does stimulate the advertising economy, even if what they are buying is fertilizer. Most of us hate stupid adds, regardless of where they come from.