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I simply limit myself to saying something like:
  • You know what... the other day I saw a documentary...
  • I think I once read an article/news/book that said...
  • I saw a video about that on YouTube the other day, and it was really interesting because it said...
If I'm feeling confident enough, I'll say something like:
  • I think I have a different opinion on the subject... if you give me 5 minutes, can we watch it?
  • I studied the subject a while ago, and I had a different point of view. It turns out...