  We apply the Simpson-Visser phenomenological regularization method to a
cylindrically symmetric solution of the Einstein-Maxwell equations known as an
inverted black hole. In addition to analyzing some properties of thus
regularized space-time, including the Carter-Penrose diagrams, we show that
this solution can be obtained from the Einstein equations with a source
combining a phantom scalar field with a nonzero self-interaction potential and
a nonlinear magnetic field. A similar kind of source is obtained for the
cylindrical black bounce solution proposed by Lima et al. as a regularized
version of Lemos's black string solution. Such sources are shown to be possible
for a certain class of cylindrically, planarly and toroidally symmetric metrics
that includes the regularized solutions under consideration.
