The following definition might be more efficient than the first solution proposed
def new_list_from_intervals(original_list, *intervals):
n = sum(j - i for i, j in intervals)
new_list = [None] * n
index = 0
for i, j in intervals :
for k in range(i, j) :
new_list[index] = original_list[k]
index += 1
return new_list
then you can use it like below
new_list = new_list_from_intervals(original_list, (0,2), (4,5), (6, len(original_list)))