Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
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When you sign in with your Microsoft account on the Services & Subscriptions page, do you see the Office 365 Family subscription listed?
https://account.microsoft.com/services
If you no longer see the subscription, but you have accepted the invite, please ask the Family Organizer to remove you from their Microsoft 365 Family sharing and then resend the invitation for you to join the subscription.
After re-accepting the new invitation, check whether your subscription updates correctly.