A process for the production of a multi-layer composite comprising applying a coating layer from a pigmented coating composition A onto the back face of a transparent plastic film and then applying an NIR-opaque coating layer from a pigmented coating composition B, wherein the pigment content of coating composition A consists 50 to 100 wt. % of black pigment with low NIR absorption and 0 to 50 wt. % of further pigment, which is selected in such a way that coating layer A′ exhibits low NIR absorption and that the multi-layer composite exhibits a brightness L* of at most 10 units, wherein the pigment content of coating composition B is either a pigment content PC1 consisting 90 to 100 wt. % of aluminum flake pigment and 0 to 10 wt. % of further pigment, which is selected in such a way that NIR-opaque coating layer B′ exhibits low NIR absorption, or a pigment content PC2 comprising