Hi,
Yes this really depends on how frequently Google crawls your site. Do these pages now lead to a 404 error? If yes I would suggest 301 redirecting them to other pages on your site. See this useful Moz blog about 301 redirects: https://moz.com/blog/heres-how-to-keep-301-redirects-from-ruining-your-seo
You also mentioned that you don’t offer the web design service anymore. If you still gets some traffic there you could make a specific page. Here you can state that you don’t offer web design but maybe some other relevant services.