Allude vs. Elude

This one eluded me for a while:
1. He alludes to hypocrisy in his poem.
2. The criminal managed to elude capture so long.
What’s the difference between allude and elude?

In my own words (trying to be as exact as possible): Allude (pronounced as ‘uh-lude’) means make a casual or an indirect reference to. Ex: In his speech, he alluded to the laziness of the staff. This statement means he pointed to the laziness of the staff indirectly.

Elude (pronounced as ih-lude) means escape. Something may elude you as in escape your understanding. Some person may elude capture i.e., escape from being captured.