Hochgebirgs-Jäger-Bataillone 1 & 2 arrival in the East

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Hi
Does anyone know when exactly the Hochgebirgs-Jäger-Bataillone 1 & 2 arrived in the Don/Caucasus area?
Both were attached to the 1. Gebirgs-Division but that unit was about to moved south past the Don shortly after they were formed so does anyone know when they reach the 1. Gebirgs-Division?