Mazda Repair Questions? Ask Mechanics for Answers ASAP
Hello, my name is ***** ***** I am a professional here at Just Answer. I have noticed that your question was not getting a response and thought I would see if you still need help with this.I apologize for the delay and I hope I can still assist you with this here.The code P1410 dose indicate you have a problem with the Variable air duct (VAD) control system and or the circuit. In order to determine what is failing you are going to need to do some testing. I have enclosed the test steps in the link below .https://dl.dropboxusercontent.com/u/104923897/P1410%20Jul%2010.pdfhttps://dl.dropboxusercontent.com/u/104923897/VAD%20Jul%2010.pdf
Have your mechanic have a look at the steps, he will know how to read and follow them.
The fault codes P0411 and P0431 are emission fault codes and not vacuum leak code and Mazda has released a service bulletin dealing with this code calling for replacing the stuck purge valve. I have enclosed the bulletin in the link below.https://dl.dropboxusercontent.com/u/104923897/Purge%20valve%20Jul%2010.pdf I would address these codes first because if the valve is leaking it can cause the lean code P0174 your getting.
The ground should be provide through the circuit.