SELECT dbs.[name] AS DatabaseName FROM master.sys.databases dbs where dbs.database_id <> 2 AND dbs.[name] NOT IN ( SELECT bus.database_name as 'name' FROM msdb.dbo.backupset bus INNER JOIN msdb.dbo.backupmediafamily bume ON bus.media_set_id = bume.media_set_id WHERE dbs.database_id <> 2 AND dbs.is_in_standby = 0 AND dbs.source_database_id IS NULL AND dbs.[state] <> 1 AND bus.backup_finish_date >= DATEADD(d, -7, GETDATE()) )