GRE Verbal doubt

GRE Verbal Problem Solving
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In this question.8 (set 3. Discrete Questions: Medium) why the ‘engaged’ and ‘involved’ are not considered as pair?

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because complicated and involved are a pair

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Thank you Meynoush, but I searched for synonyms of ‘complicated’, I found ‘involved’ in the list, then I searched ‘engaged’, ‘involved’ was mentioned there also.

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  1. ‘Involved’ is a synonym for difficult, complex, complicated, e.g.: “Applying for a driver’s license was a very involved process because I kept forgetting to bring the correct documents.”

  2. Engaged is not really a synonym for complicated. For example, an engaging experience is not necessarily a complicated experience.