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The phrase "are much larger when" is correct and usable in written English.
It can be used to compare sizes or quantities in different conditions or contexts.
Example: "The results of the experiment indicate that the particles are much larger when exposed to higher temperatures."
Alternatives: "are significantly larger when" or "tend to be larger when".
Exact(7)
The stakes, however, are much larger when it comes to the economy.
Both in-programme and post-programme effects are much larger when the program begins at least six months after the start of the social assistance spell.
Moreover, the error bars of the machined depths obtained in direction V 3 are much larger when the scratching velocity is less than 5 μm/s than for others.
Further, while matching effects are small when comparing five-year graduation rates, a companion paper (Arcidiacono et al. 2013) shows that mismatch effects are much larger when looking at persistence in STEM fields and in time to graduation.
However, experiments conducted in our group indicate that the gene expression differences are much larger when observing the transition of cells from aerobic to phototrophic growth conditions in a time-resolved manner (J Twellmeyer, unpublished results).
The inequalities are much larger when measured using the number of teeth measure compared with OHIP.
Similar(53)
On the contrary, the false-positive rate will be much larger when the sample size is increased.
The size of HPs in each analyzed variant was much larger when we considered only one variable.
However, the size of such an optimization problem is much larger when candidate controllers and their parameters are included and it rapidly becomes intractable.
For example, y° value is much larger when computed only from night (18 00-06:00 LT) values than when computed from day (06 00 18 00) values.
The creep strain is much larger when sodium is absorbed under pressure compared with the creep strain when an external pressure is applied to the material after binder phase sodium saturation.
More suggestions(3)
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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