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Exchange is the server side of a collaborative application product that is part of the Microsoft Server infrastructure. Exchange's major features include email, calendaring, contacts and tasks, support for mobile and web-based access to information, and support for data storage.
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The old DB might have whitespaces, that include in the DB size.
to check whether the replication completed or not, i would suggest follow the below steps.
You need to export all the public folders (source& destination) with size an number of items into excel sheet and verify whether source and destination folders have same size and also number of public folder items.