Yes, the statement analysis consistent with the proposition that money has real effects in the short run but is neutral in the long run is a true statement.
According to the theory of long-run monetary neutrality, an increase in the money supply raises only nominal wages over time—not real ones. The initial equilibrium's nominal wages are equivalent to those at the short-run equilibrium brought on by the expansion of the money supply and are lower than those at the long-run equilibrium.
Real wages are higher at the initial equilibrium than they are in the short-run equilibrium created by the expansion of the money supply, and they are also equal at the long-run equilibrium.
This approach is consistent with the idea that money has real impacts in the short run but is neutral in the long run based on the influence of the money supply on nominal and real wages.
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