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The phrase "and using the first" is correct and usable in written English.
It can be used when referring to a method or option that is the first in a sequence or list, often in a comparative context.
Example: "You can choose any of the options available, and using the first will save you time."
Alternatives: "and opting for the first" or "and selecting the first".
Exact(25)
You're far better off flicking to a page in a Delia Smith recipe book and using the first word you see; Operation Shallot, for example.
The Sun turned up their defensive effort in the second quarter, holding the Liberty to 5-for-17 shooting and using the first of their two 14-0 runs to get back in the game.
And under the title "A Midsommer Nights Dreame" and using the First Folio, a rough compilation of the original scripts, the Kings County Shakespeare Company is presenting it in repertory with Richard Brinsley Sheridan's "Rivals," through Sept. 2 at Founders Hall Theater of St .Francis College, 182 Remsen Street in Brooklyn Heights.
He is a well-known Mugabe confidant and schemer, nicknamed the crocodile, who has been suspected of plotting behind the scenes and using the first lady as a front to clear his way to the top by discrediting his rival, Mujuru, and purging her allies.
Putting ({fequiv1}) in (8.1) and using the first equality, we obtain the other equalities.
And those reviewers and/or employees with devices are downloading and using the first batch of must-have apps.
Similar(35)
Substituting this into Δ y n = Δ ( c n ( Δ x n ) γ ). and using the second equation of (S) we get Equation (R2).
Here we compare three cases: using the original signal amplitude, using the gradient, and using the second order gradient.
They are asked to perform three maximum force trials with their dominant hand and using the second handle position.
(I would offer them this tip: abandon the fork and use the first empty shell as tongs to remove remaining mussels).
Then we add the second exponent and use the first step of optimization.
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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