Quick Question about Kanji “Parts” on Jisho.com

Hello! Strange question that may have been asked before prior (sorry if it has) but to get straight to the point:

What exactly do the parts of a kanji on Jisho.com mean? I thought they simply meant the radical parts that make up the kanij, but then there are several kanji with examples like in the shown images, where the part is nowhere to be found! Why is "廾" listed as a part of "理"? It isn't anywhere in it… or why is "艾" marked as a part of "勤"? Why is it a "part" or a "radical"?

I'm just kind of confused…

by Om3gaSniper300