Does Hubble's Constant change with distance.

I just had a thought we always relate the hubble's constant with the
age of the universe.
But if it so then the farther we look we must see it change.
Does it really change? Because I don't remember there being any
mention of it's relation with time. It is always stated as a constant.

Now if it is really a constant then we cannot relate it with the age
of the universe or else some other parameter eg light speed must
change to keep it a constant.

Does this make sense? I am no physicist.

-anandsr

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