What is claimed is:1. A device for sealing an electrical connection between an electrical conductor having PVC or silicone insulation with an exposed end not covered by the insulation, and a contact element electrically connected to the electrical conductor, the contact element being covered by a jacket of semi-crystalline thermoplastic material except in an exposed bonding area, the device comprising:a sleeve-shaped adapter made of semi-crystalline thermoplastic material, the sleeve-shaped adapter comprising a gasket surrounding the electrical conductor in an end area of the insulation; andan overmold made of a thermoplastic or terpolymer elastomer, the overmold directly covering the exposed end of the electrical conductor, the exposed area of the contact element, at least a portion of the adapter, and at least a portion of the jacket of the contact element.2. The device according to claim 1, wherein the adapter is one of:a two-component injection-molded part with the gasket; ora single-component injection-molded part having the gasket secured to the adapter by a cap.3. The device according to claim 2, wherein:the gasket is arranged on an end of the adapter directed towards the insulation of the electrical conductor andthe gasket further comprises a sealing tip having an undercut, the sealing tip being situated on an end of the adapter directed toward the exposed end of the electrical conductor and configured to fit the insulation in the end area of the insulation.4. The device according to claim 2, wherein the gasket comprises at least one of a thermoplastic elastomer or silicone.5. The device according to claim 4, wherein the thermoplastic elastomer is a polyethylene.6. The device according to claim 2, wherein the gasket comprises a sealing ring having a plurality of sealing lips.7. The device according to claim 1, wherein the semi-crystalline thermoplastic material is a polypropylene.8. The device according to claim 1, wherein the contact element is one of a busbar or a flat conductor made of aluminum.9. The device according to claim 8, wherein the contact element is connected to the electrical conductor across a contact plate.10. The device according to claim 8, wherein the contact plate is a tiered contact plate.11. The device according to claim 1, wherein the electrical conductor is a round conductor made of aluminum.12. A device for sealing an electrical connection between an electrical conductor and a contact element electrically connected to the electrical conductor, the electrical conductor comprising insulation and the contact element being covered by a jacket, the device comprising:a sleeve-shaped adapter comprising a semi-crystalline thermoplastic material, the sleeve-shaped adapter further comprising a gasket surrounding the electrical conductor in a first end area of the insulation; andan overmold comprising at least one of a thermoplastic or terpolymer elastomer, the overmold directly covering:an exposed end of the electrical conductor not covered by the insulation;an exposed bonding area of the contact element not covered by the jacket,at least a portion of the adapter, andat least a portion of the jacket of the contact element.13. The device according to claim 12, wherein the adapter is one of:a two-component injection-molded part with the gasket, ora single-component injection-molded part having the gasket secured to the adapter by a cap.14. The device according to claim 13, wherein the gasket is arranged on an end of the adapter directed towards the insulation of the electrical conductor, the gasket further comprising:a sealing tip having an undercut, the sealing tip being situated on an end of the adapter directed toward the exposed end of the electrical conductor and configured to fit the insulation in the first end area of the insulation.15. The device according to claim 13, wherein the gasket comprises at least one of a thermoplastic elastomer or silicone.16. The device according to claim 13, wherein the gasket comprises a sealing ring having a plurality of sealing lips.17. The device according to claim 12, wherein the contact element is one of a busbar or a flat conductor made of aluminum.18. The device according to claim 12, wherein the contact element is connected to the electrical conductor across a contact plate.19. The device according to claim 18, wherein the contact plate is a tiered contact plate.20. The device according to claim 12, wherein the electrical conductor is a round conductor made of aluminum.