The size of the universe <= 14E+9 light years

I know we wouldn't be able to observe anything that far away but it
seems to me that nothing can be that far away. Here's my reasoning. At
the moment of the big bang 14 billion years ago everything was in the
same location so in order for something to be more than 14 billion
light years away now, we and that object would have to be moving away
from each other at a speed > c. Therefore no two points in the
universe can be more than 14E+9 light years apart.

Does this make sense?

.

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