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We write down explicit expressions for the $x$-evolution (equivalent toenergy or rapidity evolution) of $2 n$ ($n = 1, 2, ...$) Wilson lines using theJIMWLK equation and the Color Glass Condensate formalism. We investigate theequation in the weak gluon field limit (linear regime) by expanding the Wilsonlines in powers of the gluon field and show that it reduces to the BJKPequation describing the evolution of a state of $2 n$ Reggeized gluons withenergy. We also make available for download a {\it Mathematica} program whichprovides this expression for any value of $n$.

Small-$x$ QCD evolution of $2 n$ Wilson line correlator: the weak field limit