  The full sky measurements of the Cosmic Microwave Background (CMB)
temperature anisotropies by $\textit{WMAP}$ and $\textit{Planck}$ have
highlighted the presence of several unexpected isotropy-breaking features on
the largest angular scales.
  In this work, we investigate the impact of the local large-scale structure on
these anomalies through the thermal and kinetic Sunyaev-Zeldovich effects. We
use a constrained hydrodynamical simulation that reproduces the local Universe
in a box of $500\,h^{-1}\,$Mpc to construct full sky maps of the temperature
anisotropies produced by these two CMB secondary effects and discuss their
statistical properties on large angular scales. We show the significant role
played by the Virgo cluster on these scales, and compare it to theoretical
predictions and random patches of the universe obtained from the hydrodynamical
simulation $\textit{Magneticum}$.
  We explore three of the main CMB large-scale anomalies -- i.e., lack of
correlation, quadrupole-octopole alignment and hemispherical asymmetry -- ,
both in the latest $\textit{Planck}$ data (PR4), where they are detected at a
similar level to the previous releases, and using the simulated secondaries
from the local Universe, verifying their negligible impact.
