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"by the results of applying" vs "by the results of applying the"

Both phrases are not comparable as they are incomplete. The first phrase lacks a specific noun after 'applying,' while the second phrase includes 'the' before 'results,' which may not be necessary depending on the context.

Last Updated: March 17, 2024

by the results of applying

This phrase is incomplete and lacks a specific noun after 'applying.'

This phrase needs to be completed with a specific noun after 'applying' to make sense in a sentence.

by the results of applying the

This phrase is correct but may not always require 'the' before 'results' depending on the context.

This phrase is correct when 'the' is necessary before 'results' to specify a particular set of results obtained from applying something.

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