2 1/3 : (5/8 - 8/3) + 2 * 1 3/7

Convert mixed numbers to improper fractions: 7/3 : (5/8 - 8/3) + 2 * 10/7.

Find a common denominator for the fractions inside the parentheses (24): 7/3 : (15/24 - 64/24) + 20/7.

Perform subtraction inside the parentheses: 7/3 : (-49/24) + 20/7.

Convert division to multiplication by the reciprocal: 7/3 * (-24/49) + 20/7.

Perform multiplication and addition: -8/7 + 20/7 = 12/7.

The final answer is 12/7.