How to remove a part of a circle?

Hey everybody! I am very new to Illustrator and vector graphics in general, and to be honest, I'm a little lost. I'm doing a kind of shape as shown below venn diagram:

track_classichelp.png

However, I would like to remove areas that are surrounded here (essentially the intersection):

track_classichelp2.png

How would I go to do this? Thanks for your help!

BM,

It is important to do the steps described in the first post.

Here, it is more specified:

(1) select the two ellipses left and object > compound path > make, then do the same with the two ellipses to the right;

(2) select the two tracks consisting of 1) and Pathfinder > add to shape area, hold Alt/Option to get a composite trace (CS2 talk).

Tags: Illustrator

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