Mirror a curve and keep join soft

 From:  rich (RICHNOSWORTHY)
8771.1 
This is probably very simple, but something i haven't been able to figure out.

If i create a curve with control points, and then want to mirror it across to the other axis, the center join points (red in the image) remain hard edges. Is there any way to convert those points to control points so the tangent is soft at those points? The only way i've been able to do it is to fillet those points but that creates 3 control points for each.

Thanks


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