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The phrase "are based on exactly" is correct and usable in written English.
You can use it when specifying the precise foundation or criteria upon which something is established or determined.
Example: "The conclusions of the study are based on exactly the data collected over the past five years."
Alternatives: "are founded on precisely" or "are grounded in specifically".
Exact(4)
In 2003, many volunteers and I started Navigators USA, a coed, secular scouting organization whose founding principles are based on exactly the issues the Boy Scouts of America refuses to address.
The UniFrac results presented in Figures 2 and 3 are based on exactly 200 sequences per metagenome.
As most species designations of Radix in scientific collections, ecological studies or environmental monitoring are based on exactly these characters, results from such studies must be treated with caution.
16 In addition, it is unclear whether the IHME estimates are based on exactly the same national-level MMR data sources as the MMEIG estimates (which use DHS and MICS), because the sources of the expanded set of sibling history data used by IHME are not disclosed in their paper or web appendix.
Similar(56)
(This is hardly an original insight: a whole new area of graduate study titled "Narrative Medicine" is based on exactly this premise).
The friends-and-family aspect must have appealed to Shutterfly, however, which is based on exactly that type of picture sharing.
The SLAM backend is based on Exactly Sparse Delayed State Filter as a non-iterative way of updating the pose graph and exploiting sparsity of the SLAM information matrix.
The EIGEN-GL04S gravity field model, which is based on exactly 2 years of GRACE and LAGEOS data in order to properly average the seasonal effects, is used as the mean field to which all 10-day solutions are compared in order to infer temporal variations.
But Farrar said her bill is based on exactly what the GOP has offered.
Funnily enough, a recent study, "Framing the Economy", is based on exactly that.
"The original indication for thalidomide was based on exactly the anecdotal evidence this bill means to bring back," Carpenter says.
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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