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The phrase "and so increase with" is not standard in written English and may cause confusion.
It could be used in contexts discussing growth or escalation, but it would need to be part of a clearer sentence structure.
Example: "The demand for renewable energy sources is rising, and so increase with the need for sustainable practices."
Alternatives: "and thus grow with" or "and consequently rise with".
Exact(1)
We predict that patterns of among-individual variance will follow similar patterns to that previously observed in behavioral traits and so increase with age (Roberts and Del Vecchio 2000; Dingemanse et al. 2012) and this to be reflected in estimates of repeatability.
Similar(59)
The explanation is that females are kept for a comparatively longer period within the breeding herd than is the case with males and so increase their chance of exposure to infections [ 8].
In the 18th century, the docks in Liverpool grew larger and so increased competition with Bristol for the tobacco trade.
Making a mistake would mean that a player would be more likely to end up foraging on its own, and so increasing the risks associated with that mistake means that C and S increase, whilst increasing the risks associated with doing the same activity as the co-player leads to a fall in the benefits experienced.
Figure 1a shows population histograms of extracellularly-recorded DA cell activity, for each p r. TD theory predicts that the phasic activation of the DA cells at the time of the visual stimuli should correspond to the average expected reward, and so should increase with p r. Figure 1a shows exactly this – indeed, across the population, the increase is quite linear.
Together, these data show that mice can hold a short-term working-memory representation of reward locations on the hexagon and radiolarian mazes, and that their ability to do so increases with experience of the task.
As we will show, the silk-like blocks SH n with n = 8, 16, 24, and 48, all have a tendency to form protein filaments, but the driving force for doing so increases with the number of repeats n.
While we have no way of knowing whether this is actually the globally best tree, the chance that it is so increases with the number of times the same topology is recovered in 10,000 trials.
A Turnbull government climate policy review released in December suggested emissions limits could be loosened so they "increase with production, supporting business growth".
A climate policy review released in December suggested emission limits could be loosened so they "increase with production, supporting business growth".
So, increased NO with migraine patients may be associated with oxidative stress.
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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