No more than with a 404. But just how much link juice can you rack up with a batch of individual ads that are here today, gone tomorrow? Seems like what you'd want is links to the site as a whole: "great place to buy used widgets" rather than "check out this sweet deal on a '57 Foobar".
If the user will delete or expired ads automatically its an 404 page not found. Better way is to create a new custom 404 error page and re-direct too. Or use some techniques in case if you got any error page automatically re-directing to the home page URL or Sitemap.html page. (It will helps user engagement to stay on your website).