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On Jessie, with the Rpi3B, it is simple to enable xrdp:
sudo apt-get update
sudo apt-get install xrdp
badda bing.
But with the new Rpi3B+ which requires Stretch, it has a problem.
It will still allow you to get to the login screen, but then after supplying the credentials it then goes to a blank screen.
How to make xrdp work with Stretch on the new Rpi3B+?
This is actually unrelated to the new hardware.
Turns out that Stretch comes with RealVNC server installed. Stretch will run on either 3B or 3B+ systems. To use VNC, enable it in raspi-config and use a RealVNC client for access.
But this conflicts with xrdp
To fix the problem and make it work, simply remove RealVNC server.
sudo apt-get update
sudo apt-get purge realvnc-vnc-server
And voila, RDP access works normally on Stretch.