Looking to see where the idle air valve is located on 2003 745li e66

The 2004 Suzuki Verona 2.5L does not utilize an idle air control (IAC) valve. Instead, an electronic throttle control (ETC) system is used which Suzuki calls the "main throttle idle actuator" (MTIA). This component is the throttle body assembly but with an internal motor that adjusts the throttle plate open or closed based on accelerator pedal position inputs to the engine control module (ECM). Similarly, the ECM adjusts the throttle plate angle at idle to control idle speed. If the idle speed is not correct, the throttle body may need to be cleaned, calibrated or replaced. You can read more here: https://www.yourmechanic.com/article/how-to-replace-a-throttle-controller-by-mia-bevacqua

It's IAC - idle air control valve , not fuel injector idle air control valve. It's located on the throttle body -air inlet for the engine .
Idle Air Control Valve

there is 2 valves and are located on the rear of engine on the left has you look from under the hood

The idle air control valve (IAC) is located on the throttle body.this valve allows for sir to bypass the throttle plate when closed in order get air in to the engine

sorry but their are no diadnostic codes with this number in the manufacturers codes i have
P0505....Idle Control System
P0507....Idle Control System RPM Higher Than Expected
but i have found these generic codes for you if they help

looking at the throttle body assembly, after removing the air filter housing, opposite side of the spark plugs, about an inch or two down, you should see a electrical connection, with four wires, the IAC has two small torxs screws that hold it to the throttle body.

idler control valve or Vaqium leack

Try to clean the throttle plate with a tooth brush and B-12 chemtool (parts store will have). Engine off / remove air inlet duct, open throttle, spray a little and clean thoroughly.

Sounds like you idle air control valve is starting to mess up. You can actually take this off and clean it with throttle body cleaner and it should help get your idle back to normal. As is sounds the idle air control valve controls how fast/slow your car idles. It is located on the throttle body normally held on with a couple of screws. The throttle body is where the air duct hose coming from the air filter box ends at the engine block. Here is a picture of what you are looking for:
Make sure that you clean the valve portion and not the electrical plug with the throttle body cleaner. Let it air dry or blow lightly with compressed air before putting it back on. Let me know if you have any more questions. Thanks for using FixYa!

You idle air control valve should be located on the throttle body.  Here is a link to a picture of it so you can see what you are looking for:  http://www.autozone.com/autozone/catalog/parts/partsShelf.jsp?categoryDisplayName=Engine+Management&fromType=parts&fromString=search&parentId=cat30067&currentPage=1&filterByKeyWord=IAC&isSearchByPartNumber=false&navValue=15900207&categoryNValue=15999999&fromWhere=&itemId=prod61721&displayName=Idle+Air+Control+Valve&searchText=IAC Let me know if you have any other questions.  Thanks for rating my response and for using FixYa!