Can the pre-order traversal of two different trees be the same even though they are different? This question pretty much explains that they can, but does not show any examples of there being two different trees with the same pre-order traversal. 

It is also mentioned that the in-order traversal of two different trees can be the same though they are structurally different. Is there an example of this?
Tree Examples (image):

     A:                 B:
     ‾‾                 ‾‾
     1                  1
    /                  / \
   2                  2   3
  /  
 3   


This is an example that fits your scenario, Tree A root׳s value is 1, having a left child with value 2, and his left child has also a left child with value 3.

Tree B root׳s value is 1, having a left child with value 2 and a right child with value 3.

In both cases the Preorder traversal is 1->2->3.