Identify Hose There is a hose leading from the valve cover to the bottom of the air filter assembley. What is that hose called?

Blow by hose,valve cover to air filter.

Just the hose or the PCV (not pvc) valve? The hose is probably a dealer-only item - go to the Mazda parts department w/the broken piece and they'll get you a new one. The PCV is avl. @ most auto parts stores - and is cheap - <$20.

GL,
Td

Hope this helps. A note though, the forward-most valve cover gets fresh, filtered air from the snorkel tube that comes from the air cleaner to the throttle body. A recall changed the source of this fresh air from the pipe along the firewall to the air cleaner, instead sourcing it from the snorkel tube in a futile attempt to prevent engine fires. The rear-most valve cover contains the PCV valve and goes directly to the bottom of the intake plenum.
The "Elek Vac Reg" in the picture is actually called the EGR vacuum control solenoid and it's 'diagnostic' switch. the hose that looks like it goes nowhere should actually be attached to the smaller pipe that runs along the firewall with the 'old, pre-recall' PCV fresh air pipe to the sir cleaner. This hose was left intact after the recall.
If you have cruise control, I believe it just has one line that gets hooked into a Tee that was installed in the canister's constant vacuum supply.

2nd hose is for you positive crankcase ventilation(PCV) valve hose....(like a breather hose)

That is your pcv valve. Should be plastic into the valve cover with a black hose to the intake.

Oil is being sucked into the air filter housing from the valve cover due to a clog in the hose that goes to the passenger side valve cover and connects to your air box. You will need to have that cleaned and cleared out a have the valve cover gaskets replaced. If it persits you can harm the engine because it will **** that oil into engine cylinders and cause you to stall out.

Good luck

Gasoline filter would most likely be underneath the driver side rear of the vehicle. Follow fuel lines from the tank, and it will lead you straight to it. The pvc valve should be in one of the valve covers with a rubber hose attached to it. This will run to the throttle body or air intake of the motor.

The PCV valve can be located in several places. The most common location is in a rubber grommet in the valve cover. It can be installed in the middle of the hose connections, as well as installed directly in the intake manifold.

Once the PCV valve is located, make sure all the PCV system hoses are properly connected and that they have no breaks or cracks.

Remove the air cleaner and inspect the air and crankcase filters. Crankcase blowby can clog these with oil. Clean or replace such filters.

Oil in the air cleaner assembly indicates that the PCV valve or hoses are plugged.

Make sure you check these and replace the valve and clean the hoses and air cleaner assembly.

When the PCV valve and hose are in satisfactory condition and there is oil in the air cleaner assembly, perform a cylinder compression test to check for worn cylinders and piston rings.

let me start by saying it is not that easy but you can do it !first open hood just right of center you will see a black sort of box there are 2 10mm. bolts that you will need to take off .below the box there is a hose attached a flat head screw driver loosen this up ,then pull of box also hose connected to valve cover gasket .at the bottom of the big hose is were the air filter is 2 clip hold the cover on unclip and replace!please rate this answer thank.

if you fallow the hose comming out of air filter assembley it should lead you to the pcv valve the hose goes to the pcv and should come right off then you take the pcv valve out of the valve cover by just pulling it out and replace it with a new one