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The fabrication of devices that integrate two or more topological states simultaneously and achieve precise control over their edge state and interface states holds paramount importance. We report the quantized edge-channel transport and spin-polarized interface states in folded graphene ribbons under a magnetic field and predict that fully spin-polarized states can be generated at the interface. Our results also suggest that the system has the potential to exhibit the quantum spin Hall phase, the quantum Hall phase, and a coexistence of both phases. These phases can be manipulated by applying a bias potential and Zeeman splitting. Furthermore, the quantized conductance demonstrates a plateau at 3e2/h, which can be attributed to the presence of fully spin-polarized states. These outcomes provide a foundation for future explorations and manipulations of this novel form of edge-channel transport.