The phrase "lucid manner" means expressing thoughts or ideas in a clear and easily understood way. It refers to the ability to communicate information effectively and with great clarity. Full definition
CAREER GOAL OF APPLICANT [The career goal of the applicant must be specified in a clear and lucid manner here as given in the example below]. (sampleresumetemplate.org)
CAREER OBJECTIVE: [The career objective of the applicant to be specified in a clear and lucid manner]. (sampleresumetemplate.org)
It's astounding performances, and complex themes flirt with the dangers and beauty of love in a compassionate, lucid manner. (awardscircuit.com)