Concepts do not exist. There is only conceptualisation.
We can conceptualised about particulars and universals. A conceptualisation of a particular is necessarily separate from the particular. The conceptualisation of a universal is necessarily separate from the nominalised concept.
With particulars it is a necessary projection. With universals it is a necessary fiction.
Conceptualisation is the procedural property of a particular. Conceptualisation does not exist apart from the perceived property of the particular.