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That's an app issue. do you have the option to record sound? if you don't then you need to download the latest version, if you do then try
settings > apps > all > facebook messenger > clear data > restart your phone and try again
If that doesn't work, uninstall > reinstall the app
You should contact Facebook devs
https://www.facebook.com/help/community/question/?id=533073226787987
If its an app issue there's nothing to do here but to wait for an update to fix this issue.