The phrase ‘branded content marketing’ is an amalgamation of branded content & content marketing. Speaking to the holistic nature of marketing activities that encompasses branded content, content marketing & native advertising.
Branded content is often content where it couldn’t’ exist without the brands presence. Content marketing can exist without the brand, but seeks to bring customers into the funnel.
Branded content marketing is attempting to do both, within the brands own content eco-system. It might be referring to sometimes as brand publishing.