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Discover LudwigThe phrase "converging toward" is correct and usable in written English.
You can use it in contexts where you want to describe different elements of a situation or situation that are gradually coming together and moving toward a common goal or end. For example, you could say "The negotiations are converging toward a final agreement."
Exact(35)
Suddenly, the disparate lines of the investigation were converging toward one conclusion: Rosenberg had purchased the phones used by his own killers.
Each crus is an elongated structure covered by the ischiocavernosus muscle, and each extends forward, converging toward the other, to become continuous with one of the corpora cavernosa.
The old city's plan has streets converging toward the centre from six gates in the 5-mile- (8-km) long, 11th-century walls.
Down through the black iron slats I can dimly make out one, two, three neighborhood cats stalking each other, brushing through the high weeds, converging toward some lusty surprise.
French firms are converging toward the same [corporate governance] model as U.S. or U.K. firms follow.
These pluses and minuses add up to the fact that Poland is converging toward the EU's economic norms.
Similar(25)
The gill tissue is convergent, meaning that the hyphae appear to converge toward the center of the tissue.
But as a company matures and heads towards an IPO, the 409A starts to converge toward the price that [investors have assigned it in its most recent funding round].
Over time, prices would converge toward construction costs.
Inflation converges toward 2% painfully slowly and unemployment drops to 5.5% or so sometime around 2018.
However hopeless the situation might appear, it seemed to him that, in the end, humans converged toward moral progress.
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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