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"for comprehensive discussion" is correct and usable in written English.
It is usually used when introducing or referring to a discussion that is meant to be thorough and cover all aspects of a topic. For example: "We will be hosting a seminar next week for comprehensive discussion of the new policy."
Exact(1)
Critics have resisted numerous aspects of the argument (for comprehensive discussion, see Oppy 1996).
Similar(56)
We refer to [17] and [21] for comprehensive discussions on the various aspects as well as the many applications of variational inequalities.
For a comprehensive discussion of iPRCs for various common oscillator models see the excellent survey article by Brown et al. [201].
Among these three tests, however, the jackknife test is deemed the most effective and objective method (see Chou and Zhang [63] for a comprehensive discussion about this, and Mardia et al. [64] for a detailed explanation of the mathematical principle).
(For a comprehensive discussion of robotic and manned orbiting spacecraft, see space exploration).
(See Kitcher 2011, part I, for a comprehensive discussion).
See [9, 26] for a comprehensive discussion on this operator.
See, e.g., Borgatti (2005) for a comprehensive discussion.
We refer the reader to the review by Lindner [273] for a comprehensive discussion.
Since the 1950s, as the interest in studying SSWs has grown, the classification of SSWs has evolved (see Butler et al. 2015, for a comprehensive discussion).
For a comprehensive discussion on the various relationships among these indices, one may refer to Rennolls and Laumonier (2006) and Mao (2007).
More suggestions(17)
for extensive discussion
for detailed discussion
for complete discussion
for comprehensive dialogue
for thorough discussion
for comprehensive consultation
for wide discussion
for comprehensive focused
for comprehensive discussions
for in depth discussion
for wide ranging discussion
for wide debate
for full discussion
for comprehensive talks
for fuller discussion
into full discussion
for general consideration
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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