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I currently have two faces, overlapping at this point:

overlapping faces

The option to split/subdivide the faces along this edge I made would be enough:split along edge

resulting faces should look like this: split faces

Any help would be appreciated.

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  • $\begingroup$ Select the corner vertices and press J to cut an edge between them. Then dissolve the other edges $\endgroup$ – Mr Zak Feb 13 at 22:42
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This method uses only built in functionality and does keep your UV coordinates in place.

First move the two inner edges so you will get a distinct intersections. Then select one of the intersecting faces and use the "Intersect (Knife)" tool (in the face menu). This will create an edge at the intersection between the two faces. It will also create some extra vertices that you need to dissolve.

enter image description here

Remove the overhanging triangle faces and delete them. Move the inner edges back to their position. Select the corner vertices and Remove Doubles.

enter image description here

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