I ended up two different maps which are mirrored to each other, one of them has right-handed helices while the other one has left-handed helices.
I see the differences even in the 2D classification and 3D classification jobs. Then I had two different maps with slightly similar resolutions at the end.
My questions are;
Is it possible to see left-handed features during the 2D and 3D classifications?
Does the combination of right-handed and left-handed maps make improvement in resolution?
This is normal. Your particles are projections of the individual protein molecules, and the projections do not have intrinsic handedness - they are equally (almost!) compatible with both left & right-handed solutions, so in ab initio reconstruction, you have equal chances of converging on the correct (right-handed) or inverted (left-handed) solution.
If you have multiple classes which are identical except for the handedness, you can just pick one which has the correct handedness and use that for subsequent refinement/classification.
So, would combining all the particles, then flipping the map if left-handed cause having duplicate particles? Would it improve resolution? or using classes with the correct hand is the correct way to do as you suggest?
There should not be any duplicate particles. You can use the particles from all the well resolved classes that only differ by their handedness, and just refine against a single volume with the correct hand.