Why does the check engine light keeps coming back on after repairing/replacing secondary air injection system, code P0410?

SOURCE: Service engine soon light,

what normally fixes this is the light means service and when the service is getting done the injection system will be serviced and reset (malfunction means blockage, not tuned right any thing when the service is done it will be fixed and reset

SOURCE: Secondary air supply failure

I have a 2005 Envoy with a 4.2..... Just recently the check engine light illuminated so I read the code after replacing the 20amp fuse labeled cigar. My OBDII connection had no power so if you plug your reader in and nothing check the fuse under the hood labeled "cigar"
After pulling the code P0410 Secondary Air Injection Malfunction I checked the operation of the air pump by removing the hose connected to the solenoid. By the way the solenoid is located on the pass side of the engine top towards the back. After pulling the hose off the solenoid I started the vehicle when it was cold and after 20 seconds or so the pump should turn on and blow air out of the hose. Once I verified the pump was operating I pulled the solenoid then placing jumpers from the Positive & Negative of the battery to the pins on the solenoid. You should be able to hear the solenoid click which says its operating. But mine did nothing so I read across the pins with an Ohm meter and verified the coil was good.
So take some good penetrating oil and fill the inside of the valve with it. You can see the plunger shaft assy in the opening and thats the area you want to fill with a good penetrating oil!!!! Let it sit for a couple of hours keeping it full of oil. The housing is aluminum and the shaft is likely to be a brass material so rust is not possible. Its caused by a buildup of carbon!! The penetrating oil will soften the carbon which in turn will free up the plunger!! MINE WORKS GREAT NOW and plus you will save around $140.00 if you were to buy it from the dealer!!! Or $80.00 aftermarket from RockAuto.com

SOURCE: My son just purchased a 2006 GMC Envoy and Check

Until yesterday, I have never had a serious mechanical issues with my 2006 Envoy Denali, which only has +/-60K Miles (under extended 100K Mile warranty).

Yesterday, however, while taking an interstate on-ramp (I think I hit 40 MPH tops?), my 5.3L V-8 engine shut down while in use. I immediately pulled over, as my power steering went out when the vehicle shut off, and coasted to a stop on the shoulder.

My vehicle would not restart... the dealership took a look at it this morning, and their preliminary findings are that the engine threw a rod, there's metal shavings, and some liquid (water?) in the engine.

I'm still awaiting their full estimate of the damage.

SOURCE: 1. Trouble Code #00410 "States

I have a 2000 2.2L Sonoma that I had to replace the motor in with a 99 engine and when I did the exhaust manifold was different and I could not hook up my air pump and I now have a service engine light on all the time but it runs just fine and I even think it improved my gas mileage. You might check your air pump connections or sensor. The air pump is on the front of the engine below the ac unit. I TOO have a Hanes book but also a Chilton book because 1 covers some things the other does not

SOURCE: The code P0140 secondary air

P0140=O2 sensor circuit--no activity detected (bank 1 sensor 2)