The plasma environment of Mars is highly influenced by crustal remnant magnetism in the planet. In this work, we do statistical analyses of MAVEN and MGS data to study whether the ionospheric plasma flow can move crustal magnetic field lines, by advection. Due to the day-tonight flow of the plasma, the magnetic field lines are expected to be dragged away in anti-solar direction, causing a shift between observed and modeled field. The results show that a small shift can be observed above weak anomalies on the Northern hemisphere, where the ionospheric plasma flow is less perturbed by strong magnetic fields. To investigate the relative forces between the moving plasma and the crustal field, we also calculated dynamic, magnetic and thermal pressures, since they are involved in the advection process. In general, the dynamic pressure is lower than the other two, but this does not mean advection cannot occur, because the process is not simply a pressure balance, but a diffusive process. The calculation shows that, if advection occurs on Mars, the speed at which the crustal field lines are displaced is much smaller than the speed of the ionospheric plasma flow.