Hi @Rudolf Amarlapudi ,
According to the description of this event 628, it seems be related to the maintenance of database.
Based on my research, I found two parameters/settings to configure the maintenance of database: "Maintenance schedule" and "Enable background database maintenance (24 x 7 ESE scanning)"(Manage mailbox databases in Exchange 2013).
However, except the paramter "-MaintenanceSchedule"(It's also the setting "Maintenance schedule" in EAC), there seems no other parameters to specify the maintenance period(More details about this parameter: Set-MailboxDatabase), and this parameter is only available in Exchange 2010(It's deprecated in Exchange 2013).
Therefore, if this error persists, as said in the event: "Offline defragmentation may be run to remove all nodes which have been marked for deletion but are yet to be purged from the database.", I think you could perform a defragmentation for this database with eseutil(Because a database defragmentation could cause a corrupted issue on database, before defragmenting, please backup your database): Defragmentation of the database with ESEUTIL
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