What do UX designers do?
Unfortunately the answer is that many UX designers don't do UX anymore.
User Experience Designing is the designing of the whole user experience, and the confusion happens when people confuse design with visual design. Design is a process that may have multiple outputs, many of which are non visual.
What a User Experience Designer should do is architect a solution through user research, workshops, team work and through using a diverse tool set of skills, such as information architecture and content strategy. They should know why the project does what it does and why it does it from a users perspective.
Traditionally, and for good reason, a good UXer will hand across a set of blueprints (wireframes etc) for implementation specialists to work from. Implementation specialists include developers (front and back) and visual designers.
Also UX does not mean just web! If a person is a UX designer who does not user research, goes straight to code and visual design and only works in web then they are not a UX designer but a Web Designer.
In short - a lot of UX designers out there don't do much UX.
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