First, let's add the fractions within each parenthesis:

3 1/5 + 1/3 = 16/5 + 1/3
2 + 1/3 = 6/3 + 1/3 = 7/3
1 + 1/1 = 1 + 1 = 2

Now perform the additions within the parenthesis:

(16/5 + 1/3) + (7/3 + 3/4) - (2 + 2/3)
= (32/15 + 5/15) + (28/15 + 9/15) - (6/3 + 2/3)
= 37/15 + 37/15 - 8/3
= 74/15 - 40/15
= 34/15

Therefore, the final result is 34/15.