In recent work, the effect of a magnetic field on the line shapes via the modification of electron depileve easy clean perturber trajectories was considered.In the present paper we revisit this idea using a variation of the Collision-time Statistics method, in order to account for a l l relevant perturbers.We also obtain line profiles for the hydrogen L α line for conditions of astrophysical interest.Although the Collision-time statistics method works for both electrons and ions, we apply a simplification here that results in an excessive number of ions having to deus gorras be simulated.As a result, the present, simplified version, is typically only appropriate for electrons.