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These are found in the Batman cave areas.
Investigations 1 - 3 are in the Outer Caverns (Gas Pellets, Rebreather, Night Vision Lenses)
Investigations 4 - 6 are in the Inner Sanctum (Antidote Vial, Batarang, Laser Knife)
Investigation 7 - 9 are in the Brainic Sub-Construct