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The phrase "and hence the data" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from the preceding statement, particularly in academic or analytical contexts.
Example: "The experiment yielded significant results, and hence the data supports our initial hypothesis."
Alternatives: "therefore the data" or "thus the data".
Exact(23)
The rich and well educated won't only be better able to afford boutique treatments; they'll be more likely to have the technology, and hence the data, that helps them avoid falling ill in the first place.
Fifty nine of the molecules were detected at less than 50 sites and hence the data were unsuitable for spatial analyses.
As such, because of the time taken to load the samples in the various experiments, the pH data recording starts at 1 minute and hence the data in Fig. 3 start at a pH of around 9. 1H NMR spectroscopy provides information on this process since the gelators gradually become NMR-invisible upon gelation49.
This analysis methodology has the weakness that on the one hand the variance heterogeneity of genotypes (i.e. stability) cannot be accounted for in yield comparison, and on the other hand assumptions about variance covariance of genotype effects stability evaluation are not identical to that in yield comparison though the trial and hence the data are the same.
The cotton-PBW model was assumed equilibrating during the first year, and hence, the data were not used in computing the summary statistics.
The instruments were not fixed in boreholes and hence the data are considered unreliable, with non-volcanic causes of tilt (e.g. ground surface instability, wind, heavy rainfall).
Similar(37)
As the technology gets smaller the company expects that the data points – and hence the location data – will be far more precise.
This suggests that putative null alleles had a very low effect on the average genetic diversity of our data, and hence the complete data set was included in further analyses.
We also demonstrated that the dimensionality or richness of the imaging data did not differ across these groups, and hence the imaging data in each group was similarly varied and similarly complex.
Surveillance and reporting of the disease before 2005 has been ineffective, and hence the existing data before 2005 have little or no spatial information.
However, detailed data evaluation on reproductive success illustrates that the two queens performed "average" pregnancies and hence the gestational data will be suitable for other individuals.
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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