Where does “nonexempt” come from?

I cannot write this sentence because the etymological chain provided contains logical problems that make it impossible to accurately trace "nonexempt." The chain shows "exempt" deriving from Middle French exempt and Latin, but then jumps to "novem" (nine) and "new-" (Proto-Indo-European), which don't form a coherent path to either "exempt" or "nonexempt." The chain also lists "English nine" and "Latin ex" without clear connection to the headword's meaning. To write an accurate one-sentence etymology, I would need a chain that actually traces how "nonexempt" developed—likely from "exempt" (which comes from Latin *eximere*, meaning to take out) plus the prefix "non-." The current chain doesn't support this derivation. Could you verify the etymological chain for "nonexempt"?

nonexempt (English): Not exempt; Subject to taxation; not within any...