You're referring to the Daytime Running Lights, or DRLs.
First thing is to check the 7.5A DRL fuse in the under-dash fuse block near
the hood release handle.
Second thing is the DRL resistor, which is behind the driver's headlamp on
the inner fender. You need to see continuity between the terminal that's
all by itself and the two that are side-by-side.
Third thing is the DRL relay. This is under the same passenger kick panel
the Service Check Connector is behind. This, from my understanding, is
usually what goes bad. There are a number of complicated checks for this,
but these relays are about $10 at the wrecker's, so just replace it and see
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