Removing extra lines = removes faces

I am practicing a project of which sample file is attached here. As here in picture I have marked it with red circle. As i try to erase extra lines, it removes certain face each time I tried many times but each time it gets worse for me, during trying I may have complicated it a little bit. Can anyone please have a look at this.

pro 2.skp (224.6 KB)

You probably have some non-coplanar faces ?
Otherwise that edge between the two faces could be deleted without adversely affecting the two connected faces…

Try re-making the problem geometry.
Having regard to axial inference-tips and so on…

Also do NOT have your Model Info > Units sets to ‘snap’…
And I suspect that you need to fix your faces to be all ‘front-facing’…
Reverse them, so no back-faces are visible…
Context-menu…

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