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The phrase "progressively include" is correct and commonly used in written English
It is typically used when describing a process or action that involves gradually adding or incorporating something. Example: The new textbook will progressively include more interactive activities to engage students in their learning.
Exact(3)
The purpose of our paper is to investigate whether it is possible to take one step in this direction by extending existing approaches to energy efficiency strategies to progressively include other priority resources, in particular water.
"In an ideal world one would simply rank people in order of their predicted life expectancy and then start from those with the shortest life-expectancy and progressively include people with longer and longer life expectancies until the supply of drugs is exhausted," they say.
In the CIET approach these progressively include local authorities and key decision-makers, while sustaining scientific rigour.
Similar(57)
Over the past 20 years, this has been by far the most common trajectory; about 43% of U.S. industries were changing progressively, including long-haul trucking and commercial airlines.
On October 20, we began a rolling deployment of the mobile device encryption requirement and the unencrypted laptop/desktop/mobile device network restrictions, progressively including all employees over several months.
Variable bounds are progressively included in the iterations to narrow the feasible region.
Starting from these peaks, we expand the region of each peak by progressively including its adjacent Voronoi cells to form a mountain.
The underpinning component of the model is a scalable clean-up response framework, which identifies and progressively includes more urban surfaces (e.g., roofs, and roads) requiring clean-up with increasing tephra thickness.
We first demonstrate the performance of a hybrid DS/FFH system over Rician time-selective fading channels, progressively including the effects from wide- and partial-band jamming, multi-user interference, and varying degrees of Rician fading.
The above partition is found, for instance, in the L decomposition levels of the wavelet transform of a natural image, where the set L 0 can be associated to the indexes of the scaling coefficients, and the sets L l, l = 1, …, L can be formed by progressively including the indexes corresponding to the increasing wavelet decomposition levels.
In this paper, error-probability analyses are performed for a hybrid DS/FFH system over standard Gaussian and fading-type channels, progressively including the effects from wide- and partial-band jamming, multi-user interference, and varying degrees of Rayleigh and Rician multipath fading.
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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