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The expression "shows the solution" is correct and usable in written English.
You can use it in a sentence to indicate that something demonstrates a solution to a problem or situation. For example, "The professor's detailed explanation showed the solution to the equation clearly."
Exact(29)
Figure 2 shows the solution of electricity generation amounts.
The bottom panel shows the solution obtained with our method.
The given Algorithm 2 shows the solution of sub-problem.
Figure 3 shows the solution as a function of time for a fixed distance.
Figure 4 shows the solution as a function of space for fixed time.
First, Figure 2 shows the solution as a function of time and space.
Similar(31)
The graph also shows the solutions found by Algorithm 1 and the evolution until the optimum.
Figure 1(c) shows the solutions and the misfit percentages on the grids.
Figure 1 shows the solutions of explicit, implicit and Barakat-Clark methods.
The dashed line shows the solutions of equation (Pi =1/2) for the simplified models in Table 2.
*Values are numbers (percentages) of participants unless stated otherwise Table 3 shows the solutions of both sessions with regard to the primary outcome.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com