Welcome.The pic is so small I can't tell what hoses are even on the motor! The hose usually coming off the valve cover (head cover) is a breather tube for oil vapor- it usually has a catch can of some kind but not needed to function. I'm guessing the hose in the rear is similar, breather for the gear case- goes to air away from anything that you don't want to have oil vapor on it.Hope this helps
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