1. Unicorns are real. They're just shy which is why no one has ever seen them.

2. With a powerful enough telescope, one can see Hawaii from any beach in California. This proves Flat Earth theory. No one has ever done this though because people wonder why you're looking out from the beach through a huge telescope, and that's embarrassing.

3. The people on the other side of the planet are planning to wage war with us and steal our women.

You cannot disprove any of these facts. Therefore they are real.