A major problem in J-resolved spectroscopy and many other experiments is the appearance of "artefacts" due to strong coupling. The signals giving rise to these artefacts follow the same coherence transfer pathways as the required signals, making it impossible to suppress them using phase cycling or pulsed field gradients. We present new methods for suppressing these artefacts, applicable to any experiment containing a J-resolved pulse sequence element, as well as to constant-time experiments.