I would powerwash or at least hose off the carpet while you have it out. Don't mess with the jute backing just wash the face of the carpet and let it dry. I bet there has been years of cleaning products put into that carpet and would benefit tremendously from a thorough rinse and scrub with a nylon brush. Image washing your hair and never rinsing it!!!!
I've pulled so many carpets from Cruisers and power washing it will leave it so much softer and cleaner than you can imagine!
I've pulled so many carpets from Cruisers and power washing it will leave it so much softer and cleaner than you can imagine!