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The phrase "equals that of" is correct and can be used in written English.
You can use it when comparing two things in a sentence, such as, "The cost of the item equals that of a similar item at a different store."
Exact(60)
There is no class imbalance because the number of positive samples nearly equals that of negative samples.
Then, instrumentation is implanted and pure unconstrained moments are applied to the instrumented T12-sacrum segment until global (T12-sacrum) motion equals that of the intact condition test.
Now it equals that of Switzerland.
Its imaging quality equals that of conventional microscopes.
The cooling performance achieved equals that of existing, open cycle, cryosurgical systems.
So they raise their voices until the volume of their own voices equals that of callers'.
Today, Bill Gates's annual income equals that of about 75,000 workers.
Its style equals that of the French composer Claude Debussy in his most "orientale" moments.
Its population of 1.2 billion equals that of America, Europe and Russia combined.
We are talking about our love, the embrace of love, how our love equals that of our fellow citizens".
And researchers in Illinois made stretchable silicon electrical circuits whose performance equals that of their rigid counterparts.
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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