How to avoid the appearance of a thin line after cropping?

Question

Adobe Photoshop

After I select and cut the object on a new layer, a current line remains.
How to avoid it?

Answer 1

I will assume that this is a strip - a translucent edge of the image. It is necessary to set the blur tolerance during operations to 0

Answer 2

You press the button Select and Mask (Refine edge) and draw a brush along an unnecessary line. In general, I advise you to cut everything with a pen.