ML 63 W164 Mystery hose help please

I bought a 2006 ML63 yesterday and noticed two vacuum lines in my engine bay that look like they have been hit with a jigsaw or grinder!
I don't know what they are running to, but I would like to replace them with some new ones.
How can I find out what they are and what their part numbers are to order some new ones?
Sorry for the close up, these are located just behind the radiator expansion tank over the front right wheel, and they head back to the firewall area.
Thanks in advance for any clarity on what these are for.
See the red line I made, with a flat tip screwdriver push it towards the left and pull out the hose.
Then clean the hose with a rag and look for a part # such as xxx xxx xx xx
If you can do it on the damaged hoses, that would be better.
Last edited by Maj. Dundee; Dec 30, 2021 at 09:35 AM.
Now all fixed.
Also found out that the lines were damaged from a RAT eating them! WTF??
you ought to see what coyotes do to drip irrigation pipes


