I have a figure formed by two objects like this:
I want to remove the excess of the red object in Inkscape, to get something like this:
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There are a couple of ways to do it, and probably more than those I've listed here below.
Copy and Paste in Place the blue rectangle, select the new blue rectangle and the red ellipse. Click Object > Clip > Set.
Select both rectangle and ellipse, click Path > Division, select the ellipse inside, and change the fill colour back to red.