Land Rover Repair: 2004 Land Rover Discovery 84k miles,, land rover discovery, 2004 land rover discovery

Question
I drive a 2004 Discovery SE7 with 83k miles. This morning I got codes P1412 and P1415, which appear to be related to a secondary air system fault.  I received these codes, just after agreeing to sell the vehicle to someone.  I still have the car, we are meeting on Monday to sign paperwork etc.  What are your thoughts on the issue, what it would take to fix. Is there anything I can look at myself?  I have checked all the hoses and I don't see anything that is loose.  If I clear the code, it comes back on the next time I start it cold, if its warm the system doesn't run and the SES doesn't come on.  I can hear that system running on a cold start, not a warm start though.

Thanks for your help

Answer
There is a test routine for the secondary air system, but you need a T4 or Autologic tester to run the tests.  Without that it's anybody's guess what's wrong - hoses, valves, pump, or all of the above.  

Secondary air problems are pretty common but unfortunately there is no one common failure item.