Even from the mount Halak, that goeth up to Seir, even unto Baalgad in the valley of Lebanon under mount Hermon: and all their kings he took, and smote them, and slew them. From the mount Halak - All the mountainous country that extends from the south of the land of Canaan towards Seir unto Baal-gad, which lies at the foot of Mount Libanus or Hermon, called by some the mountains of Separation, which serve as a limit between the land of Canaan and that of Seir; see Joshua 12:7.
The valley of Lebanon - The whole extent of the plain which is on the south, and probably north, of Mount Libanus. Calmet conjectures that Coelesyria is here meant.