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The phrase "approximately the same height" is correct and usable in written English
It can be used when comparing the heights of two or more objects or individuals, indicating that their heights are similar but not exactly equal. Example: "The two buildings are approximately the same height, making them a striking feature of the skyline."
Exact(26)
Each wood piece has approximately the same height as the servo and they serve as support for the servo.
Pull yourself up onto the Model T driver's perch and you'll be sitting at approximately the same height as in a modern 4x4 pickup truck.
However, in other cases the post-mix condition is quite poor with ratios approaching 100%, indicating all three peaks are approximately the same height.
This flattening of the arches occurs at approximately the same height as where the base of the tail is located above the ground, which suggests that the tail could have been used as a prop for the hindlimbs.
This hall, measuring 210 by 122 feet (64 by 37 metres), is the largest single building in the compound, as well as one of the tallest (being approximately the same height as the Wu Gate).
Seedlings of approximately the same height, purchased from a local nursery, were planted, one seedling in one pot.
Similar(34)
From Fig. 1 it is evident that from the four mercury compounds investigated only MeHgCys (Fig. 1a) shows extensive in-source fragmentation, resulting in two clusters of approximately the same peak height: the MH+ cluster with m/ z 338 as the 100% abundance isotope and a second cluster with m/ z 321 as the 100% abundance isotope, showing a mass loss of 17 from the MH+ molecular ion cluster.
NOT THE TALLEST The tallest tree in Heritage Grove stands approximately 250 feet -- about the same height as the tallest one in Muir Woods -- but more than 100 feet shorter than the Hyperion Coast Redwood in Humboldt County.
They are roughly the same height.
Randi and I are about the same height.
Use furniture at roughly the same height.
More suggestions(18)
approximately the same peak
almost the same height
approximately the same size
approximately the same elevation
nearly the same height
approximately the same length
approximately the same high
around the same height
about the same height
approximately the same output
approximately the same number
approximately the same frequency
approximately the same structure
approximately the same weight
approximately the same age
approximately the same level
approximately the same valence
approximately the same codon
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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