hello, i was trying a testdome python test

[perfringo]

It seems to me that main question here is whether order should be preserved or not. If order is not important then very simple set-list conversion would do:

>>> def unique_names(first, second):
...     return list(set(first + second))
...

If order is important then you should have keep track whether element is already seen or not. Something like (pseudocode, not real one):

create list where unique items will be kept

for every item in lists which items will be uniquefied:
     if item in unique items list: continue
     else: append item to unique items list