I have now news to give you, which, if it serves not to alleviate your sufferings, will not in any wise increase them.
This being so, I say I thank you, sirs, for the offer you have made me, which places me under the obligation of complying with the request you have made of me; though I fear the account I shall give you of my misfortunes will excite in you as much concern as compassion, for you will be unable to suggest anything to remedy them or any consolation to alleviate them.
There are no more uses of "alleviate" in the book.
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Regular massage will help to alleviate the pain.
She wants to save the planet and alleviate poverty at the same time.