Okay, at least we know what the issue is now.
Re: OLM and rendering without anti-aliasing: It's fairly common in the 2D animation industry to render without anti-aliasing, and then apply anti-aliasing as a post-process effect. This step can be done in a compositing program, such as After Effects, along with the free OLM Smoother plugin I mentioned. I did this with Moho a long time ago, but unfortunately, Moho currently has trouble rendering very thin lines when anti-aliasing is disabled.
So, at this time, I recommend rendering with Moho's anti-aliasing enabled and correcting the line error before rendering.
I don't know why you split the shape this way in your project, but I can show you an example of how I address the white line issue.
For example, I may split an arm drawing into two shapes, and then break that out into two layers...like this...
Which allows me to do this...
But then I see a white line in the elbow, just like in your example...
To correct this, I simply add a point to the drawing in one layer, and pull that point over the edge that's visible in the second layer...
Now, when I render the animation, the white line is gone...
I don't know if this applies in your situation, but maybe it will give you an idea for how to fix it. Good luck!
