Culture and ideology are strongly coupled yet not mutually exclusive concepts

Evidence

And the reason for that should by now also be obvious. Though neither structuralism nor culturalism will do, as self-sufficient paradigms of study, they have a centrality to the field which all the other contenders lack because, between them (in their divergences as well as their convergences), they address what must be the core problem of Cultural Studies. They constantly return us to the terrain marked out by those strongly coupled but not mutually exclusive concepts culture/ideology. — Hall, Stuart, Essential Essays, Volume 1, 208

Categorization

• DEFINE: Defines the core problematic pair culture/ideology that structuralism and culturalism jointly stake out.
• QUESTION: What does Hall mean by ‘strongly coupled but not mutually exclusive’? Worth tracing how the two concepts interlock across his essays.