I have two shapes:
I want to connect them like this:
How can I do this?
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There are two ways to do this:
Do the same with the path on the other object.
Holding the Shift key, select a node on one side of each object.
You are going to connect these nodes.
If your goal isn't to combine the two paths into one connected path but rather to create a 3rd object between then, then you can still follow the method below. Just duplicate Ctrl + D the two objects first before connecting them, then send it to the back once you're done. If you truly want a 3rd object that only fills the space between them, use the Division operation, similar to how you used Union above.
I would actually recommend not doing that two. Paths that but up against each other in SVG images are sometimes rendered as having a gap between them. It's a good idea to have some overlap.