Martin Luther King Jr. includes the sentence to highlight the suffering under segregation.
The author's purpose for including the sentence, 'Frankly, I have yet to engage in a direct action campaign that was "well timed" in the view of those who have not suffered unduly from the disease of segregation,' is to establish the suffering experienced under segregation. Martin Luther King Jr. highlights the struggles faced by the African American community due to segregation and the urgency for immediate action against it.
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