I was getting secondary air injection codes (banks 1 and 2) so I took the pump out and tested it with a 12v battery. It fired right up and seemed to work fine. Would this indicate that the valve in the exhaust manifold is not opening, either because of a bad valve or a bad vacuum solenoid?

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2003 3.0 5MT Topasblau
Purchased in 2016 and sold in 2024
2012 35d Platingrau