Hi @MasTer,
Thank you for posting your question in the Microsoft Q&A forum.
Based on your description, your question is how to synchronize information about disabled or departed users to Azure AD by configuring AD Connect to hide these users in the GAL of Exchange Online.
In your Active Directory (AD) environment, only the default properties from the AD installation currently exist and do not yet contain Exchange-related properties, so it is normal to not be able to find specific Exchange parameters.
In fact, it is possible to add the required Exchange attributes without installing an Exchange server, but by performing a schema extension. It is important to note that the schema extension itself is safe, but it must be performed by an administrator with appropriate privileges. It is important to note that once the schema extension has been completed, it cannot be fully rolled back, however, you can choose to stop using the newly added attributes at a later date.
To resolve this issue, you will need to run PrepareSchema and PrepareAD, and once you have done so, your AD environment will have the appropriate Exchange properties (see below). Detailed information on preparing AD and domains can be found in the documentation: Prepare Active Directory and domains for Exchange Server, Active Directory Exchange Server, Exchange Server Active Directory. Exchange 2019 Active Directory | Microsoft Learn
After you have successfully added the attributes, you can set them with the help of the ADSI editing tool, or by using PowerShell commands. Subsequently, synchronize these settings to Azure AD via the AD Connect tool, thus achieving the goal of hiding users in the address list.
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Thank you for your support and understanding.