Where are the necessary buttons/functions in illustrator?

Question

AutoCAD

In AutoCAD there is a function Connect, where you can make a figure from a bunch of segments into one segment (contour). There is also a function Move where you can "squeeze out" a contour/shape to a certain distance (you can set any) both inward and outward (in this case, the source remains or is proposed to be deleted). However, they do not depend on each other in the future. And yet - such a trifle as Crop. Those. We made a crosshair and you can delete the line before the intersection. I found only functions to unite into one contour using "Creating shapes" and "Processing contours". But it looks like crutches. I can't find similar buttons/functions in Illustrator.

Answer 1

where you can make a figure from a bunch of segments into one segment (contour)

https://www.youtube.com/watch?v=ESj0M0l6Rho
https://www.youtube.com/watch?v=jbc3q9bfOH8

where you can "extrude" a contour/shape to a certain distance (you can set any)

https://www.youtube.com/watch?v=ejaJYL3qx_g

And yet - such a trifle as Crop

It's not clear what kind of cut this is.