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[parisse]

(ln(15)+2*ln(2))/(3*ln(2)) and ln(60)/(3*ln(2)) have both two "variables", ln(15) and ln(2) or ln(60) and ln(2). That's why simplify does not collect the logarithms. Run lncollect to do that.
Unfortunately there is no universal way to declare something more simplified than something else.