Each of your individual voice mailboxes may have a separate greeting. However, you may not want each mailbox to have its own greeting. For example, you might say in your main greeting, “press 1 to leave a message for the events coordinator,” and you might not want another greeting on that mailbox.
If you create a mailbox without a greeting you will not be able to login to the mailbox using your phone. Since there's no greeting there's no opportunity to press * to enter the administrative menu of the mailbox.
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