I own two sites in the same genre. I have pursued a strategy of having each site link to highly relevant articles of its sister site, thinking I was doing a good thing. I have over 1,000 pages of content amongst the two sites, so I have ended up withdozens of such type links in both sites over the past six years. It was all done very innocently and all of the links go to super relevant artices in all cases. Now I discover that I may be tagged by Google as a Black Hat artist by using Bridge page or Doorway page techniques. My question is if I remove all of the offending outbound links on each site, will I be able to redeem myself or am I just screwed. If you were me what would you be doing next?
You can remove all of them and see if your sites recover or get a boost in the rankings. If they do not, then you should consider submitting a re-inclusion request to Google, detailing what you did to clean up your site.