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Backup via file system backup software
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You do not need to close the connections.  

You do however need to make sure that all write transactions (and read transactions if necessary) are ended and that a checkpoint has processed all journal pages and reset the journal.

Once this state (a full checkpoint) is obtained a backup of the database files will be internally consistent.

You must not permit "write" operations until the backup is complete although you may "read" as much as you like.