Connected conductors with cavities

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There are two conductors with cavities, in one cavity is +q and in the other cavity is -q. If these two conductors are connected by a connecting wire, what would happen?

I know the electric field must be zero over the conductors. But would it be correct to say that there is now zero net charge on the outside of both the conductors and that the electric field everywhere is zero except inside the cavity?
 

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This is a trivial question, no?