2 any order hits a week out of 34 numbers per draw 16 draws a week is no good, unless one or both hitts are straight. Are they?
If not, then I like QWEST46's idea much better, but I am going to help you a little with that, instead of eliminating the same 3 numbers from all of the 3 pick3 positions (left,middle and right), eliminate 3 different digits per position and don't use the same eliminating numbers for every drawing, change them according to what 3 numbers you think won't come next per pick3 positon.
As to how to pick the 3 numbers per position every time, well I can tell you how I would do it, but it's best that you develop your own way, after all thinking is good for you, but I am a softie so I am going to help you a little more, for the first 3 numbers per position,
pick the numbers from the past pick3 draw, so if the last draw was 395 then don't use or pick any pick3 number that has a 3 on the left and or a 9 in the middle
and or a 5 in the right, I am not going to tell you how to get the other 2 numbers per position, because I want people to do some thinking on their own, it's very good for you and since I told you how to get one number per position already, I want other people to post as to how they would get themselves another number per position and post it here, that will show that others are also willing to help and then I might be more inclined to help you even more, but I am going to help you even a little more now, but it won't be by telling you how to get the next eliminating numbers, instead is another technique that will also help you.
Out of the 120 numbers don't pick any that don't have at least one digit (number) from the last 2 pick3 draws.
If you do like me and QWEST46 (Jason) and really help everybody with good Ideas, I might help you some more, after all, I am the "Pick3 Filter King"