The first thing, I see that might be an issue, is the transparency may bot be set up properly. Rather than the trans map going to the transparency color, usually the map is plugged into the fac of the mix closure and the transparency is set to white. To get a soft edge, you can add an edge blend with black on top and white on bottom. The amount of blurring of the edges is controlled by the attenuation. However, if you also want the transparency map you have in the scene, plugging that into the edge blend doesn't work.

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