When sending messages to strangers, new friends, depending on the level of interaction you have (like/cmt/share on average your posts), the number of inboxes can be from 20-50 messages. every day (if the inbox has a link, it will drop even lower)
~5000, But I advise you not to send too much, and send it to strangers. Because of that, the invitation acceptance rate is very low, and FB will be able to restrict your account.
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