I've created this logo draft:
It looks fine when it's small but when I zoom in, the edges look like this:
So I started the drawing process all over again. First I created the 4 rectangles which I aligned perfectly in every possible way:
Then I put 2 diagonal shapes on 2 edges and used the Shape Builder Tool in order to remove the parts I don't need:
So here's the result of that shape:
Now I want to add a shape to the left side of the object but I can't align it correctly and I'm afraid that that's is what caused the problem on the draft logo. It looks aligned when zoomed out:
But when I zoom in and use the outline view, this is what I see:
I have tried to align these shapes with nudging them with arrow keys, I've used the align options, I've set the keyboard increment to 0,1 px. Nothing works.
There must be an easy way to fix this but since I'm fairly new to Illustrator, I don't know how to achieve this.
EDIT: Here's a GIF which shows the alignment problem. I applied the matching edge method which @joojaa suggests. Sorry for the low quality:
Thank you for your help.