netmeg - 4:39 pm on May 2, 2013 (gmt 0)
Eventually if you get enough of them, it probably will have some negative effect. For one thing, it may well goof up your crawl budget, and you'll find Google coming back to pick up your real pages less often.
If you remove a page, you should serve a real 404 or a 410. If your CMS can't handle it, then either fix it or change to another CMS. Which of course is a PITA but them's the choices if you care at all about search traffic.