We have a Challenger 37LX. Bath and a half, with dual black and dual grey tanks like yours. I find that my grey tanks fill up way before my black tanks do. We have gone 10 days before dumping the black tanks, and even then I don’t think they were completely full.
It is just my wife and myself, so if you have more people on board that might explain why yours are filling so fast.
I’m actually glad that the lavatory sinks empty into the black rather that the grey tanks.
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