Oil in air filter box and hose

So people my problem is mainly that my Rex Milano 50 4t with 3900km at once has started to make problems while driving, after longer ride so 10-20 min it just goes out at the beginning rarely so I had not been so worried now often, I need it for the work/training when I was lying then again I looked at it once I noticed that from the air filter box down smoke came out the bluish gray so I was it he let it cool off before I went further, now I also noticed that the whole underbody was oiled from the lift filter box and furthermore the other parts of the air filter also see picture like the hose that leads to the gassed, now it could be because if yes how do I solve this with the oil? Or is the problem quite somewhere else? Before it goes out it slows down and makes funny noises and then goes out