You could add the words "After-Hours Service" or "After-Hours Line" after the company's name. That way there's no concern over whether it is indeed a number that reaches a real person who will return their call during non-business hours. It's a way to let them know they're on the right track. If that makes sense. :)
By setting up a more thorough voicemail greeting, you can smartly route your calls and cut down on voicemail pile up. Considering a medical office answering service to help with overflow and after hours messaging? See how we can help.

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