The most likely cause of these two codes tripping together is a vacuum leak associated with the canister purge system. This system collects the vented gasoline vapor from the fuel tank and when the engine is running purges the canister into the manifold.
The P0171 is an indication that the engine is running lean and the P1443 is a fault associated with the Purge Control Valve Solenoid trouble code control valve.
Inspect under the hood for a disconnect vacuum line.
The photos are examples of the vacuum circuit connect via hoses. Listen for a vacuum leak when the engine is running. It would be a whistle sound. Also if work has been done recently look in the area that the work was done under the hood.
Hope this helps?
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