A live-in flip means you buy a property that needs work, move into it as your primary residence, do the renovation while you live there, and then sell it. The three parts that make it the strategy rather than ordinary homeownership are the buying price that reflects the condition, the work that adds value, and the sale at the end.
The loose usage you're hearing is real. People say live-in flip when they mean any owner who painted and got lucky on appreciation. Nothing wrong with that outcome, but it isn't the strategy, because the profit came from the market instead of from the work.
What pulls the whole thing together is the federal capital-gains exclusion on a primary residence. If you've owned and lived in the home for at least two of the five years before you sell, you can exclude a large amount of gain from tax, up to $250,000 if you file single and $500,000 married filing jointly. That's why the two-year stay isn't a delay here. It's the thing that earns you the tax treatment.
One part your owner group probably hasn't mentioned. Money you spend on real improvements gets added to what's called your cost basis, meaning the number your gain is measured against, so keeping every receipt and contract matters from the first day. People who don't track it end up guessing years later. How the exclusion applies to your particular situation is a question for a tax professional, since the rules on residence and ownership periods have real edges.