In short, not unless you set it up - the system does not automatically send you any notifications.
To receive a notification when someone joins your product or makes another engagement milestone in your account, you can use our Actions Feature to create the notification actions of your choice.
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Questions? Reach out to us at hello@membervault.co, within our Facebook group, The MV Collaborative, or via chat support within your admin account (not sure how to log in? look up your account here).