Exchange Edge is using self-signed certificate for the SMTP services and for subscribe new Exchange synchronization between Hub and Edge servers.
Self-signed certificates are only valid for one year.
To display certificate used by Exchange Server run this command:
Get-ExchangeCertificate | fl
To renew a self-signed certificate for Exchange Edge you can use Exchange Management Shell command:
Get-ExchangeCertificate | New-ExchangeCertificate
To generate new self-signed certificate for Exchange Edge you can use Exchange Management Shell command:
New-ExchangeCertificate ?FriendlyName ??oExchange Edge Certificate??? ?SubjectName ??ocn=mail.contoso.local??? ?DomainName ??oex2007edge, mail.contoso.local??? ?PrivateKeyExportable:$True | Enable-ExchangeCertificate ?Services SMTP

