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The phrase "approached closer to" is correct and usable in written English.
You can use it when you are describing someone or something approaching an object or location. For example, "The cyclist approached closer to the finish line with miles to go."
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Beyond that point Thomas Aquinas was not a Christian Aristotle but a man of faith and dogma; he divorced himself from Aristotle when necessary and approached closer to Augustine of Hippo, to the Neoplatonists, or to Avicenna.
As it approached closer to the Gulf Coast of the United States, Chris curved slightly east of north.
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Correlations among stocks have approached close to 90%.
Of note is the fact that three tropical cyclones approached close to, or made landfall on, Mexico during a ten-day span from June 23 to July 3.
Figure 2 shows an example of a short cyclic peptide (10 residues) where PEPstrMOD approached close to the native structure while the ab initio model performed poor.
Convecting particles approach closer to the Earth before they are deflected by drift in the main field.
That difference would change the way matter orbits, allowing it to approach closer to the black hole's center before disappearing forever into its gravitational embrace.
No planet approaches closer to Earth than Venus; at its nearest it is the closest large body to Earth other than the Moon.
This requires the read head to approach closer to the magnetic layer and ever-thinner layers of carbon 1 2 nm thick.
From the Mezen River's mouth, the border abruptly returns south, approaching closer to the upper Mezen near 64° lat.
The patches were chosen to make mutations so that the GRAVY values can approach closer to that of GGIVLTG patch [ 15] (Table 1).
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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