It could also happen with a VOR/DME. The DME service volume will be listed secondThere are two facilities there, a VOR and a TACAN. Both are L class service volumes. The Chart Supplement legend explains it pretty succinctly, it's on page 29.
There are two entries because each facility may have a different service volume.
Couldn't find (L) on the IFR Low Enroute chart legend used for the Paso Robles VOR. Curious who may know.
I know (L) on the Airport identifier indicates pilot controlled lighting. Little stumped as to the 2 L's on the VOR.
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A lot of us "high flyers" stayed away from the (L) VORTACs. L was only "good" to FL180 and 40nm range.....waiting for that rare poster who has ever used (L) annotations in a practical way while flying.