Verbal | please explain these sentences

1)RIGHT : They passed a BAN PROHIBITING us FROM CARRYINGbottles.
1)WRONG : They passed a BAN that we CANNOT CARRYbottles.

RIGHT
They AGREE THAT electrons EXIST.
Electrons are particles THAT physicists AGREEEXIST.
SUSPECT
There is AGREEMENT AMONG them THAT electrons exist.
They AGREE electrons EXIST. (AGREE THAT is preferred)
Electrons are particles THATphysicists AGREE ON AS EXISTING.
WRONG
There is AGREEMENT AMONG them TO THE FACT THAT electrons exist.
Electrons are particles physicists AGREE
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