Hydrolysis of salts of weak acid-weak base

I just came across the hydrolysis of the salts and the formula
pH=7+1/2(pKa-pKb)
What's bugging me about this is how can this be independent of Concentration?
I mean if we dilute it why wont it affect the pH? That means that even a negligible amount of such a salt can affect the pH of a bucket of water? Also there is no assumption involved so please explain how exactly is this plausible, thanks.
 

Borek

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