Final answer:
The provided excerpts do not mention Lucius Clarke or two types of time; they reference Roman historical figures and events.
Step-by-step explanation:
The question at hand doesn't directly mention Lucius Clarke, nor does it reference two types of time he mentioned. Instead, the information provided references various historical figures and events, such as Lucius Lucullus, consulships during the Roman Empire, and Athenian lawmakers. Since there is no clear mention or context of Lucius Clarke stating two types of time, it seems there may be a confusion or mix-up with the information provided, possibly due to a typo or misinterpretation.