to carry on correspondence

[user_gary]

I received your kind letter and thank you for it. Anne's ardent wish was to work for mankind, and therefore an Anne Frank Foundiation has been incorporated in Amsterdam to work in her spirit. You are right that I receive many letters from young people all over the world, but you will understand that it is not possible for me to carry on correspondence, though, as you see, I am answering everyone.


Here two contrary intention confuses me.

one, (it is not possible for me to carry on correspondence)
second, (I am answering everyone).

Could you tell me, what is the intention behind this?

[Anglika]

He answers each person once. He will not answer any more letters from that person.