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The phrase "a gradual development of" is correct and usable in written English.
It can be used when discussing processes, changes, or progress that occur slowly over time.
Example: "The project showed a gradual development of new ideas and concepts that enhanced its overall quality."
Alternatives: "a slow evolution of" or "a progressive change in".
Exact(30)
Overall, these type-1 BLA neurons increased their firing rates gradually in parallel to a gradual development of anxiety-like behaviors under conditions of anxiety.
During childhood until puberty there is steady growth in all reproductive organs and a gradual development of activity.
This era also saw a gradual development of monetary theory (which explains how the level of all prices is determined as distinct from the determination of individual prices), notably by Swedish economist Knut Wicksell.
The American Unitarian Association was founded in 1825 as the result of a gradual development of Unitarianism (the denial of the Trinity) within New England Congregationalism in the late 18th and early 19th centuries.
According to the Knowledge-in-Pieces perspective, conceptual change involves a gradual development of coherence that typically involves altering structured priorities (diSessa 1993) of relevant knowledge elements.
There is usually a gradual development of clinical and radiological signs with an often normal chest X-ray at birth with increasing findings with emphysema in the following days (Fig. 12).
Similar(30)
Also, in a speed discrimination task, Manning et al. (2012) reported a more gradual development of thresholds for slow (1.5°/s) than fast (6°/s) speeds.
Dubois also believes it shows that "our race first came into being in Asia," which "accords with the traditional view that Asia is the cradle of mankind, and by no means contradicts the Biblical story, if we grant that the process of creation was that of a gradual development from lower forms".
Otherwise, each age group would contain a proportion of children who had and had not made the transition, with the proportion increasing with age, to give the impression of a gradual development.
Tadpole metamorphosis follows a pattern of gradual development of forelimbs and hind limbs, resorption of the tail, shortening of the intestine, disappearance of the gills, and development of lungs.
The moment rotation relationship of the joints has an initial stage of gradual development of nonlinearity, followed by a prolonged yielding phase, and then a descending branch.
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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