Where is log of shutdown?

I'm seeing something about sda2 being busy while shutting down but can't
catch it enough to read.
This must be logged somewhere, right?

Where can I find this log afterwards, during next run?

An unclean unmount obviously takes place because of that error and the
next boot says sda2 is not clean and checks it every time.

The sda2 is /home
Can I run something at shutdown to find out?

lsof +D /home shows a _lot_ of stuff of course but how to see what's
maybe left there when the system is trying to shut down?

Vahis
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