Every day several visitors on this site are confused by the two-way left turn signs or the pavement marking in a center turn lane.
They think that the arrows indicate both left and right turns.
The arrows indicate left turns from both directions. This should be very clear if you stop and think of how the arrows are drawn.
It should also be clear that there is no reason for you to enter a center lane when making a right turn.
What the Signs Tell You
The signs are used where a center lane is reserved for the exclusive use of left-turning vehicles in either direction and is not used for passing, overtaking, or through travel.