The study investigates the pressure-induced changes in the density wave (DW) transitions and spin density wave (SDW) order in La$_3$Ni$_2$O$_{7-\delta}$. Using muon-spin rotation/relaxation ($\mu$SR) techniques and dipole-field numerical analysis, the researchers probe the magnetic response of La$_3$Ni$_2$O$_{7-\delta}$ under hydrostatic pressure. At ambient pressure, $\mu$SR experiments reveal a commensurate static magnetic order with a transition temperature $T_N \simeq 151$K, characterized by a stripe-type arrangement of Ni moments. Under pressure (up to $p \simeq 2.3$ GPa), the magnetic ordering temperature increases at a rate of $dT_N/dp \simeq 2.8$ K/GPa, contrasting the reported suppression of the DW order by Wang et al. The findings suggest that the ground state of La$_3$Ni$_2$O$_{7-\delta}$ is characterized by the coexistence of two distinct orders: the SDW and likely a charge density wave (CDW), with a notable pressure-induced separation between them. This study contributes to a deeper understanding of the complex interplay between magnetism and superconductivity in this material.The study investigates the pressure-induced changes in the density wave (DW) transitions and spin density wave (SDW) order in La$_3$Ni$_2$O$_{7-\delta}$. Using muon-spin rotation/relaxation ($\mu$SR) techniques and dipole-field numerical analysis, the researchers probe the magnetic response of La$_3$Ni$_2$O$_{7-\delta}$ under hydrostatic pressure. At ambient pressure, $\mu$SR experiments reveal a commensurate static magnetic order with a transition temperature $T_N \simeq 151$K, characterized by a stripe-type arrangement of Ni moments. Under pressure (up to $p \simeq 2.3$ GPa), the magnetic ordering temperature increases at a rate of $dT_N/dp \simeq 2.8$ K/GPa, contrasting the reported suppression of the DW order by Wang et al. The findings suggest that the ground state of La$_3$Ni$_2$O$_{7-\delta}$ is characterized by the coexistence of two distinct orders: the SDW and likely a charge density wave (CDW), with a notable pressure-induced separation between them. This study contributes to a deeper understanding of the complex interplay between magnetism and superconductivity in this material.