In reality... / Actually... / In fact...
Often used to correct a perception or reveal what's really going on beneath the surface. Can soften a contradiction or reveal a truth.
It seems complicated, but in reality it's quite simple.
Actually, I don't agree with that version.
—Is she ok? —In reality, not as well as she says.
Actually, I don't live here.
In reality, I don't know him well.