A partial black hole?

Nothing can escape the gravity of a black hole, where escape velocity is
greater than the speed of light.
But what if you have two black holes closely orbiting each other. Doesn't
the
gravity of the two objects cancel out between each other? Is it possible
that
a portion of one or both have an escape velocity below the speed of light?
If so, what is the result?

I would guess that anything that does escape would be quickly recaptured.

 
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