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The phrase "approximately at the same time" is correct and usable in written English
It can be used when indicating that two or more events occur around the same moment, without specifying an exact time. Example: "The two trains arrived approximately at the same time, causing a bit of confusion at the station."
Exact(41)
Among linguistic groups, our results indicate that Indo-Europeans (IE) and Dravidians (DR) have received the J2a-M410 influx approximately at the same time.
In our study, animals were herded to (07.00 h) and from (17.00 h) the grazing grounds every day approximately at the same time, thus LA followed a strong diurnal pattern over the entire study period, similar to Ta.
In the first tier, GreenGPU dynamically splits and distributes workloads to GPU and CPU based on the workload characteristics, such that both sides can finish approximately at the same time.
The DISD approach delivery bundles approximately at the same time of the SISD approach.
Moreover, they come back to their own pulsatile regime approximately at the same time, starting by a quiescence phase.
Approximately at the same time, Yang and Pu [22] studied the existence and stability of solutions to the SEP in Hadamard manifolds.
Similar(19)
Consistent with evidence that elevation in central NE is a co-determinant of hypothalamic-pituitary-adrenal axis activity, salivary cortisol also approximately doubled at the same time points.
Approximately 10 ml CSF was taken at approximately the same time of day.
From Figure 3D it is evident that the growing season starts at approximately the same time at Cassiope heath, grassland and fen.
No differences between clinics were noted, however clinic care changed in accordance with updated recommended guidelines at approximately the same time at all sites [ 26].
We observed high reproducibility (R2≥0.96), for target preparations from the same RNA in two independent reverse transcription reactions, or from two different freshwater samples collected at the same location at approximately the same time (Fig. S2B).
More suggestions(10)
approximately at the same position
approximately at the same level
approximately at the same value
approximately at the same location
approximately at the same weight
approximately at the same distance
approximately at the same stage
approximately at the same moment
doing at the same time
nearly at the same time
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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