Designing mechanically robust, 2D membranes with elastic properties is crucial for advancing separation technologies, particularly in demanding environments such as saline lakes. Here, an innovative approach, the synthesis of silver nanosheets within graphene oxide (GO) membranes to form a 2D silver-graphene heterojunction, is introduced. This membrane exhibits exceptional mechanical strength (stress tolerance of 4.26 MPa and strain capacity of 123.03%), attributed to the reinforcing effect and ductility of silver nanosheets interacting synergistically with GO layers. Notably, the membrane demonstrates high selectivity for lithium ions in Salt Lake brine (Li⁺/Mg