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Logrotate will keep rotating the logs and not let the size of the log file grow. Old log files might need manual deletion.

You might find this worth a read through.
https://docs.rackspace.com/support/how-to/understanding-logrotate-utility

Rotate count The rotate command determines how many archived logs are returned before logrotate starts deleting the older ones. For example:

rotate 4
This command tells logrotate to keep four archived logs at a time. If four archived logs exist when the log is rotated again, the oldest one is deleted to make room for the new archive.

Thanks, I will give it a read.