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The phrase "also show that when" is correct and usable in written English.
It can be used when introducing a condition or situation that is being demonstrated or proven in conjunction with another point.
Example: "The results of the experiment also show that when the temperature increases, the reaction rate accelerates."
Alternatives: "further demonstrate that when" or "additionally indicate that when".
Exact(60)
The records also show that when inspectors arrive, their response can be redundant.
Our studies also show that when the ice disappears in one area, it may accumulate in another.
The records also show that when Mr. Scott was working in 2011, $125.76 was deducted from his check each week.
The Fed's household-finance data also show that when pensions were more common, they served as a social leveler.
We also show that when uncertainty is considered without learning, the fraction of new solar PV capacity investments can be depressed.
However, we also show that when both humans and vectors move, this strategy may fail, depending on the specific movement patterns exhibited by hosts and vectors.
But its data also show that "when agencies, organizations and individual citizens work together to conserve precious resources, some really good things happen," Mr. Hoskins said.
The data also show that, when films have at least one female screenwriter attached, they feature more actresses between the ages of 40 and 64.
They also show that, when the damping of the original system is low, the attachment of the damper is remarkably effective and beneficial.
Results also show that when the additional terms are included, the calculations are not very sensitive to the blending function implemented in the hybrid filter.
We also show that when the interactions are treated correctly, the variations of diffusivity in a lattice gas are larger than previously expected.
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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