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\section{Discussion}  The striking agreement between our calculation of suppressed dipole mode visibility and the observations of \citet{Mosser_2011} (see Figure \ref{fig:moneyplot}) conclusively demonstrates that the modes are suppressed because some of  their energy leaks into the core. Indeed, the dipole mode suppression must arise from a phenomenon within the core (to which $\ell=1$ modes are most sensitive) in order to not strongly suppress modes of different $\ell$. The core acts as an efficient energy sink: waves that leak through the evanescent region never couple back to the envelope modes. We have shown that the magnetic greenhouse effect is an effective wave trapping mechanism, thanks to the symmetry breaking enforced by any plausible geometry of a (strong enough) magnetic field within the core. In this scenario, dipole modes only exist in the envelope, with part of their energy leaking into the core as running magneto-gravity waves. Hence, mixed modes in the usual sense do not exist in stars with suppressed dipole modes. In principle, it is possible that another symmetry breaking mechanism could produce the same observational effect. The only other plausible candidate is rapid core rotation, but we argue this is an unlikely explanation for most suppressed pulsators (see details in the supplementary material). In order for rotation to strongly modify the incoming waves such that they will be trapped in the core, the core must rotate at a frequency comparable to $\nu_{\rm max}$, roughly two orders of magnitude faster than the values commonly observed in the cores of these stars \citep{Beck_2011,Mosser_2012}. The suppressed pulsator KIC 8561221 (\cite{Garcia_2014}) does not exhibit rapid envelope rotation and disfavors the rotation scenario. Moreover the magnetic greenhouse effect makes a clear prediction: that for stars with frequency of maximum power similar to the critical magneto gravity frequency $\nu_{\rm c}$, dipole modes with $\nu >\nu_{\rm c}$ will be unaffected, while those with $\nu <\nu_{\rm c}$ should show suppression. KIC 8561221 displays this exact behavior, supporting the magnetic greenhouse mechanism.