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The phrase "involve the extent" is a grammatically correct and usable phrase in written English.
It is most often used to refer to something that includes the degree or scope of something, such as a measurement, an influence, or a consequence. For example: The effect of the hurricane on the city's infrastructure involved the extent of the damage to buildings and roads.
Exact(4)
Salience and centrality, for example, involve the extent to which being vegetarian is a defining feature of one's identity.
The book's most chilling revelations involve the extent to which suicide ran in Cobain's family, and the steadfastness with which he talked about ending his life.
The issues mainly involve the extent to which policy will favor public access to broadband investments and the extent to which cable and telecommunications companies will maintain commercial control of broadband piping.
However, case-by-case differences in the extent of lesion are a major problem in assessing the outcome of injury with regard to lesion types and locations (Saatman et al., 2008; Bigler et al., 2013), which also involve the extent of secondary responses such as inflammation and degradation (Lenzlinger et al., 2001; Woodcock and Morganti-Kossmann, 2013).
Similar(56)
The new system is invariant in that it does not involve the extents of chemical reactions; it is written in terms of directly measurable quantities only.
The clinical stages of disease were determined at the time of initial biopsy or resection according to the classification of the Japanese Society of Pediatric Surgeons, which was based on the number of liver segments involved, the extent of local invasion, the extent of regional lymph node involvement, and the presence of distant metastases (Hata, 1990).
If there is not agreement about the purpose of the EFHIA and some degree of expressed agency on the part of individuals involved, through direct involvement in the EFHIA process and some degree of choice to be involved, the extent of learning from the EFHIA and its impacts may be limited.
Some administration officials said issues involving the extent of Mr. Bremer's planned authority were still being debated.
This involved the extent to which boss and colleagues reinforced a manager's efforts to change his behavior.
However, Democratic officials said that one snag remained Sunday evening involving the extent to which the agreement would make cuts in defense spending.
The key, operational question that has followed has involved the extent to which the U.S. Executive Branch of government should share its plans, and the reasons for them, with relevant committees in the Congress.
More suggestions(18)
incorporate the extent
imply the extent
include the extent
involve the measurements
involve the degree
involve the range
involve the measurement
involving the extent
states the extent
involve the size
cases the extent
involve the proportion
participate the extent
involve the severity
involve the magnitude
involvement the extent
involved the extent
involve the significance
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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