No, the ads just move out of ad spaces into 'native' space, embedded with content and interspersed into feeds and streams.
Or the adverts become articles, with no indication that they are sponsored. One newspaper website that I read has a "monthly limit" (not effective when you use private browsing) of 10 pages. But even after this limit is reached, some articles can still be read. I assume that the the newspaper is receving payment when someone reads the article. However, there is nothing to indicate that the article is an ad, or sponsored.