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The phrase "approach we detected" is correct and usable in written English.
It can be used when discussing a method or strategy that has been identified or observed in a particular context.
Example: "After analyzing the data, we found that the approach we detected was effective in improving overall performance."
Alternatives: "method we identified" or "strategy we observed".
Exact(47)
With this approach, we detected a 3.3-fold stress-dependent increase in phosphorylation for Nup153.
Using this approach, we detected that cullin3-mutant neurons developed an excessively elaborated dendritic pattern (Figure 1B, F, J, N).
Using a proteomic approach we detected 769 proteins in the isolated interstitial fluid, sixfold higher than in patient plasma.
Using this approach we detected 219 out of 356 known bovine miRNAs and 115 respective miRNA* sequences.
Using this approach, we detected a number of bands with a molecular weight of around 85 kDa that were not present in the control.
Using this approach, we detected significant transfer to our African American sample for 7 of 84 (8.3%) testable loci (Supplementary Table S1).
Similar(13)
With this approach we detect networks that are statistically validated against the chosen null hypothesis.
With this approach we detect a backbone that is statistically validated against a null hypothesis of uniform diversification of loans for banks and firms.
Using this approach we detect differences between 'healthy' individuals within populations for the distributions of putatively deleterious rare alleles they are carrying.
Based on this approach, we detect 179, 306 and 215 genes missing in the current draft sequences of the P. yoelii, the P. berghei and the P. chabaudi genome, respectively.
The reverse is also true, when we analyze the gene set from Amato et al. [ 31] with our "average F ST" approach, we detect significantly lower population differentiation than genome-wide autosomic levels (FST = 0.097, n = 1,631 vs. FST of 0.104, n = 17,443, p-value < 4.4 × 10-5, Mann-Whitney test).
More suggestions(17)
approach we discovered
approach we demonstrated
criterion we detected
approach we extracted
formula we detected
approach we calculated
approach we located
approach we ascertained
approach we checked
approach we identified
direction we detected
criteria we detected
approach we discover
approach we selected
approach we determined
method we detected
methods we detected
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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