I saw two bright white lights traveling on the exact same path that disappeared as a plane approached them.

I can't be sure if the two lights I saw were separate objects or two lights on the same object. The two lights were very bright and completely white. They traveled in exactly the same path as if one was following the other (assuming they were not physically connected). They moved across the sky somewhat quickly, a bit faster than a plane would, and were traveling north. From memory and consulting a compass, I am somewhat convinced they were traveling precisely north. I observed them for several moments before noticing a plane whose path was going to intersect the path of the lights. Almost as soon as I noticed this, the lights began to dim, and by the time they reached the point where they would be quite close to the plane, they had disappeared completely.
I have checked a map of satellites and do not see any that could have been these lights. I also have viewed a video of Starlink for comparison, and these lights were somehow both smaller and brighter than the Starlink satellites. They also were closer together than the Starlink satellites.
I am sure that these lights were not just disappearing behind clouds as it was a perfectly clear sky. I could clearly see both stars in the area where they disappeared as well as the plane that was in the area.