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The phrase "are based on plain" is not correct in English as it lacks clarity and context.
It could be used in a context where you are discussing something that relies on simplicity or straightforwardness, but it needs additional information to be meaningful.
Example: "The conclusions of the study are based on plain observations rather than complex theories."
Alternatives: "are grounded in simplicity" or "are founded on straightforward principles."
Exact(2)
(His categories are based on plain common sense and do not try to capture the intricacies of the new regulations).
This is, for example, the case of most of the existing engine control units (ECUs) in the automotive and aeronautic sectors that are based on plain interpolation between multidimensional tables rather than on an artificial intelligence approach.
Similar(58)
Many of his sculptures and collages are based on plain-style, proto-modernist 19th-century Shaker designs, which he remakes on a larger scale, forging links with Minimalist artists like Donald Judd.
The method is based on plain strain pure bending, enabling the investigation of large deformation cyclic reversed loading, orthogonal pure bending, as well as springback.
But those research findings were based on plain green tea, with perhaps a teaspoon (16 calories) of sugar, not on Snapple's 17.5-ounce Mango Green Tea Metabolism with 140 calories and 33 grams of sugar or Lipton's 20-ounce Green Tea with Citrus, at 200 calories and 53 grams of sugar.
Diagnosis is based on plain brain computed tomography and, if tomogram is normal, on lumbar puncture.
Radiographic results are found in Tables 7 and 8. Radiographic evaluation was based on plain radiography (true anteroposterior and lateral views, n = 29) or on postoperative CAT scan of the radius (n = 19).
While the explanations in Section 2 were given with implicit floating-point arithmetic plus rounding operation (eqs. (3), (4), and (17)–(20)), the practical implementation of the 5/3 filter banks (53v1, 53v2) is based on plain integer arithmetic as follows.
Postoperative Steinberg stage evaluation was based on plain radiographs.
Classifications were based on plain radiographs and computed tomography scans.
For example, the Amer-Ind code is based on Plains Indian Sign Language, and has been used with children with severe-profound disabilities, and adults with a variety of diagnoses including dementia, aphasia and dysarthria.
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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