Yes, but the advertisements don't get in the way of the content - editors wouldn't allow that. Also, the only way the ads can harm you is if they're coated with cocaine or some other drug :)
I suggest you pick up a copy of the New York Post and other NYC 'tabloid' style papers before making a blanket statement like "editors wouldn't allow that."
I could, yes - but I was lightly referencing the fact that opening up a newspaper and seeing an ad that I don't care for means I can move past it or ignore it, whereas with a computer it could mean having to spend time running a malware scan because the ad was hosted by a malicious provider.