the small hose from the carb body goes into the bowl space-----atmospheric vent. they will get bugs nests or dirt, water, and then reduces the fuel flow thru the FUEL JETS. There are AIR JETS (sometimes well hidden beneath the diaphragm porting on CV carbs) that draw air (clean air box air) into a junction within the carb body cavities TO the MAIN and IDLE fuel jets extending (aspiration) into the bowl fuel. these "air flows" are separate from the full bore and throttle plate stream of intake air. the fuel is effectively drawn into the bore with an entrance at the main jet brass nozzle and a small hole(s) south of the throttle plate or slide (depends on carb type). simple way to think about the vent......you have to let air in when sucking the soda out of a bottle. same goes for the fuel tank has to be vented....be it a simple hole in cap of a full blown EVAP system.....air in for fuel drawn off.
some machines run this hose (usually bigger because air has flow resistance) to a frame cavity.....think mice, mud dobbers, backwater floating trash etc. you can change the carb 50 times...still a dog in the pile.
you might want to raise the end to a protected area but still have the loop end DOWN to avoid water flowing in.
The bigger hose from the crankcase PCV feeds oil vapor and blow by fumes to be reburned by routing into the airbox....thus the oil mess on filter.
EVAP canister gas tank fumes are also gated back to be reburned......that is why overflow carb----gassy oil will also cook off and screw up the F/A mixture.
Might as well cover the 3rd fuel/air circuit on carbs that DO NOT have a choke butterfly......that gags extra fuel from main and idle jets. these will have a second cable to carb or a linkage on multi carb setups. the basic function is to open an air passage (calibrated drilled hole) by lifting a slide (6mm dia or so.) off a seat and also pull the extended pin out of the fuel jets passage.....have a flow of air sucking metered fuel into a larger hole directly in to the side of the bore throat. mis routing of the choke cable can open the enrichment circuit (choke) when turning handlebars and then be fine on straights.......H way back bad for this....plug a day habit!!!!!!
That's the short of it. chow