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The phrase "shows the difference between" is correct and usable in written English.
It is commonly used to introduce a comparison or contrast between two things. Example: The experiment clearly shows the difference between the effects of sugar and artificial sweeteners on blood sugar levels.
Exact(59)
This figure shows the difference between the total running times for the different compiler options for the first model.
Figure 10 shows the difference between the transpiration specific rate of tomato at the two different CO2 concentrations.
It shows the difference between how rich men and women and poor men and women acted and thought".
This shows the difference between the leader and the institution, which is more important than the leader".
In this pithy but ingenious example, Dawkins shows the difference between a designed economy and an evolutionary economy.
"This shows the difference between rich and poor," Mahnoor's mother said.
The first graph shows the difference between budget projections and budget reality.
The astounding article about how the government knew of flawed data concerning the Iraqi aluminum tubes shows the difference between the Bush administration and those that preceded it.
The first chart shows the difference between the yield on two-year Treasuries and the Federal Reserve's target rate for federal funds — the rate on loans between banks.
This image of Mexico City clearly shows the difference between the densely built-up city centre and the vast surrounding vegetation.
Basically, it shows the difference between private and public markets.
Write better and faster with AI suggestions while staying true to your unique style.
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