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This paper is interested in the modelling of the relationship between active and passive labour market policies and the aggregate unemployment outflow rate. Our model is based on a matching function and includes a simple representation of the competition between various groups of job searchers. The empirical analysis uses Belgian data. Faced with variables that are often integrated of order 1 according to the usual tests but which cannot strictly speaking be integrated, we contribute to an important methodological debate by comparing the conclusions of a classical econometric analysis and a cointegration approach.