If your plants are 45 days old and you have then in pots that are small enough that you will only be moving up to 3-gallon pots you most likely have a root-bound situation going on so removing all, or at least most of the old soil would be difficult, but not impossible.
You can remove the plants from the pots they are in and lay them down and use a hose to wash away the soil. You can also take something like a 5-gallon bucket and fill it about three quarters or more full and repeatedly dip the root-ball into the bucket and remove the old soil that way.
The only danger is since your roots are likely very tangled you would need to at least somewhat separate them so when you put them into the new pots you could get soil around all the roots and not have air pockets. Unless you are very careful and take your time, while making sure to keep the root wet, you could damage the fine hairs on the roots and have a problem.
Unless you know for sure that your roots are not tightly tangled you would be better off moving up to a decent pot size, like 5-gallons, and scoring/cutting the sides and bottom of your current root ball about an inch deep so the roots would then push out into the fresh soil and there would be enough of it to make a difference and give them the room they need. If you don't cut/score the root ball your tangled roots will want to mainly continue to circle and intertwine with each other and will be very slow to spread out into the new soil and make use of it.