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The phrase "explained in the text" is correct and usable in written English.
You can use it to refer back to something that was previously stated in a text, for example "The importance of getting enough sleep was explained in the text."
Exact(60)
(The parameters are explained in the text).
The indigenous words are explained in the text.
The data columns shown are explained in the text.
Source: Constructed by author as explained in the text.
Dashed lines: Variable κ as explained in the text.
The indications A to C are explained in the text.
Zone-I, II, and III are explained in the text.
Blue lines represent the results for focusing from half solid angle as explained in the text.
Conc. is the dummy for being more concentrated in 1998 as explained in the text.
As explained in the text, the parsimonious relationship is b a c d.
The figure is further explained in the text under the heading "pathophysiology".
More suggestions(16)
explained in the message
interpreted in the text
elucidated in the text
acknowledged in the text
explained in the statement
explained in the document
substantiated in the text
explained in the documentation
been clarified in the text
explain in the text
interpretation in the text
explained in the report
articulated in the text
presented in the text
indicated by the text
as indicated in the text
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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