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Local in my theory means on location. Local with respect to an object means that this object has neither momentum nor velocity.
In the system that is local to me, the sun orbits the Earth every day.
Suppose two massive objects moving toward me from opposite directions at more than half the speed of light.
After passing me, they move away from me. I see them moving apart at superluminal speed.
However, if one assumes the system of one of these objects to be local, the addition theorem of STR applies.
The other object in this system is moving away only at a speed slower than that of light.
The expansion of space is relative:
Imagine you are a meson created by cosmic radiation and have only a short time left to live.
If you observed the world passing by, you would only see a short section that is actually much longer.
The world therefore appears compressed like a pancake.
Ludwig Resch
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