Swedish term (edited): klarera (i jämvikt)

I think this is "klarera" as an alternative to "cleara", usually meaning the application of a clearing system between banks, when payments in and out affecting more than one bank were "clearade", i.e. counted against each other. In the example a wider meaning is implied, excess labour and excess demand for labour will in the end result in a balance between supply and demand.

Understand your difficulty with the Swedish. It seems off. So I'd really like more context ... and the complete sentence (or even paragraph).
Still labor market equilibrium is a concept that I figure you've understood, and that the labor market 'clears' is also a concept (the first reference). Some more reading in the second reference.