motorized bicycles in bike lanes

Motorized bicycles, such as mopeds or bikes with electric motors, are a bit of a
conundrum for law makers around the country. Is it legal for a motorized
bicycle to use bike lanes? I’m not going to cover all fifty states and DC here, but
I will give you the general drift of the legislation being drafted. It is as follows:
The operator of a motorized bicycle may use a bicycle lane IF the engine is not
being used to power the cyclist down the road. If you are manually propelling
your bicycle, even if it is equipped with an engine, you may use the bike lane.
But once the engine is engaged instead of your legs, the operator
needs to exit the bike lane and enter the roadway.