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The pronunciation of any word in English (or any language at all) is not Universal.  This is because there are many different dialects of The English Language — both throughout America, and also world-wide.  The pronunciations that are presented on GiveMeSomeEnglish!!! are based-upon a combination of both “common usage”, and the most neutral accent used in The International Common Tongue — a.k.a. “American English”.
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Avail – For this word:  the “Au” combination is pronounced like the “aw” combination;  the “x” is pronounced like the “gz” combination;  the first “i” is short;  the second “i” is pronounced like the long letter “e”;  and for the “-ary” suffix – the “a” is a Long “A” / Short “I” Diphthong (this is due to the placement of the letter “r” directly after it);  and the final “y” is pronounced like the long letter “e” (this is the standard pronunciation of this suffix in The Common Tongue).

– /awg-ZIH-lee-ary/ – /ɔtg.ˈzɪ.liː.eɪɹ.iː/ – Notice also that the stress is on the second syllable –

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Learn More About The Word “Avail” On Wiktionary

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