How does water affect the pH of a buffer?

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ieatshrimp24

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I wrote down in my notes that "addition of water to a buffer equally dilutes HA and A-, therefore the ratio of base/acid has not changed, pH remains constant". However, I remember in some question of a different passage that water does affect the pH. Which one is right? Is there a certain amount of water needed to change the pH of a buffer?
 
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