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The phrase "on the second paragraph" is correct and can be used in written English.
It is typically used to refer to a specific paragraph in a written text. Example: "As mentioned on the second paragraph of the article, the economy has been steadily improving over the past year."
Exact(3)
The number of regression analyses conducted is incorrectly stated on the second paragraph of page 3; 20 regression analyses were conducted, not 10.
We now cite this paper and discuss the relevance to our findings with PcTx1 on the second paragraph of the Discussion.
My only comment is on the second paragraph of the Discussion, which comments on the pitfalls when using an incorrect model of a protein structure, particularly when trying to calculate pK as using continuum models which are dependent on the initial conformation.
Similar(55)
The translator receives the sentence on a Tuesday, as part of the first paragraph of a paper appearing in the following week's issue, which is published on Thursday.
I clicked on "State Department" in the second paragraph, which brought up this results page.
READERS of The Choice, a blog by reporter Jacques Steinberg, encountered something unusual — and for some of them, something very disturbing — when they clicked on a link in the second paragraph of his Sept. 29 blog post.
We have now elaborated on this idea in the second paragraph of the Introduction.
Expand on your lead in the second paragraph.
For more information on departing MySpace execs, see the second paragraph here.
Remark 2 If conditions (ii) and (iii) above are satisfied, a solution x of (1) with ( t, x ( t ) ) ∈ Ω satisfies the Hartman-Nagumo inequality (see the second paragraph on p.702 in [20]).
She wasted little time getting to the point, issuing her judgment denying Sierra Club's and NWF's injunction request by the second paragraph on the second page of the ruling.
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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