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The phrase "surpassed that of" is grammatically correct and can be used in written English.
It is often used to compare two things or individuals and show that one has exceeded the other in a certain aspect or quality. Example: The sales of our new product surpassed that of our top competitor, making it the top-selling item in the market.
Exact(59)
Kinetic uptake rates of lactate in vivo surpassed that of glucose in R3230Ac mammary carcinomas.
Their figures show that the number of over-65s surpassed that of under-fives at the end of 2018.
Earlier this year, Mojo's circulation surpassed that of Q for the first time.
It did $19 billion in business last year, and its stock market value has surpassed that of rival Intel.
His popularity and respect surpassed that of O. J. Simpson in a poll of Buffalonians about the best Buffalo athlete.
The annual incidence rates of non-AIDS events surpassed that of AIDS-events during the entire study period.
They also observed that SNR of DWI during free breathing considerably surpassed that of breathhold scanning [ 16].
Within two decades their use had surpassed that of hard contact lenses, most commonly made of polymethyl methacrylate.
Despite the relatively small number of Yemenites, the prestige of their handiwork greatly surpassed that of the artisan cultures of other immigrant groups hailing from Islamic countries.
Indeed, the absolute number of e-cigarette papers (144) in 2013 surpassed that of waterpipe (108) by over 30%.
Similar(1)
The budget is in surplus and economic growth of 2.8% in 2006 surpassed that of all but three other provinces.
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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