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'increase the dependence' is correct and usable in written English.
It can be used when describing an increase in reliance on something. For example, 'The digital age has increased the dependence of society on technology.'.
Exact(13)
It would increase the dependence of parties and candidates on advocacy groups, private interests, and wealthy individuals willing to act as direct sponsors of independent political expenditures.
The change, made entirely within the government's statutory powers, is likely to diminish the pool of students who qualify for federal aid, reduce education spending by hundreds of millions of dollars, limit access to billions of dollars in state and institutional grants and, as a result, increase the dependence on loans to pay for college.
This will increase the dependence of cities on external water footprint of crop products (water embodied in imported crops), which may impact upon food security in cities in the long term.
In the theorem below, we increase the dependence by introducing a nonzero term in the original boundary condition.
This ultimately leads to decrease their activity for maintaining the natural fertility of soil (Gupta et al. 2014) and increase the dependence on chemical fertilizers.
In contrast, a larger probe radius would include more of the molecules with less global USR similarity, which in turn would increase the dependence of the four pharmacophore moments on the calculated similarities.
Similar(47)
Impaired CA increases the dependence of cerebral blood flow (CBF) on systemic BP, which may lead to hypoperfusion or hyperperfusion when BP fluctuates, even within the normal pressure range (50-150 mmHg).
This increased the dependence of oil companies on automation to complete processes without any delay.
While overall HDD capacity shipments are increasing, the dependence upon the enterprise near line storage market will drive greater quarterly shipment variation, depending upon cloud and other enterprise spending.
The lack of such information increases the dependence of pastoral communities on perennial sources, which often leads to competition and conflicts.
To date, the catastrophic environmental pollution arising from burning fossil fuels is a discriminating public concern and thus alternatively increases the dependence on renewable clean energy.
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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