open end unknown hoses found.. help me to identify please.

[kll]

today, i replaced my old battery with a new one. i removed air duct too. once i removed air filter housing cover to replace air filter at same time, i found an open ended hose. i seek an end for that but unable to find one. then i checked for bottom of engine bay, i foudn another but similar hose!.

what can be those?
they seems they are not conencted to somewhere for some time. their open ends,tips are dirty with dust and oily mud.

here are few photos i take. closer ones are inside engine bay. i took them with a weird way, using macro mode and aflash light. these are right side of engine when it is infront of me.

[kll]

found! it is transfer case breathers. open ends are ok.