Possible to execute two or more than two commands at the same time

as root, you could replace their shell with a simple wrapper script that logged their commands before passing them to the real shell. This would only work prior to them logging in.

You want to use expect for this. It's probably already on your machine. It's the standard tool for any kind of interactive command-line automation. It's a Tcl library, so you'll get some Tcl skills along the way for free. Beware; it's addictive.

#!/path/to/expect
spawn ssh user@example.com "mysql -u blub"
expect "*ssword:*"
send -- "mypass\r"
interact