1. in a clear and easily understood manner
2. in a mentally clear and rational way

Examples

• The professor explained the complex theory lucidly.
• She spoke lucidly about her experiences during the interview.
• The witness testified lucidly despite the traumatic events.
• He wrote lucidly about difficult philosophical concepts.
• The patient was able to think lucidly after the medication took effect.
• The instructions were lucidly presented in the manual.
• She lucidly described the steps needed to solve the problem.