Where does “catchphrase” come from?

I need to work through this etymology chain carefully, but I notice there's an issue: the chain provided seems problematic. It shows Latin words appearing before Ancient Greek words, which is chronologically backwards. Also, "catchphrase" as a compound likely has a more recent origin than this chain suggests, and the chain seems to conflate "catch" with unrelated Latin terms. However, following your instruction to "state only what the chain supports" and not invent steps, I cannot reliably construct an accurate sentence from this chain as presented, because the chain itself appears to contain errors (Greek φράσις/φράζω don't derive from Latin capio/ago, but rather the reverse relationship would be expected, and these don't actually form a coherent etymological path to "catchphrase"). Could you verify the etymology chain? For an accurate one-sentence origin summary, I'd need a chain that: 1. Proceeds from newer

catchphrase (English): A group of words, often originating in popular...