Yes they should be on the engine. It Kawasaki engine as they are the only water cooled engine I have seen lately. I think you got a FD750D.
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It the reason every equipment owner should record these numbers before the decals disappear. I currently just finish working a Hustler Super Z that the engine info is not present nor was the ZTR decal with the model and serial. Luckily the customer had it least recorded the Super Z model number. The engine was either CV740 or CV750 but that is just a guess.