Step 1 :Let the two consecutive integers be x and x + 1.
Step 2 :Write the equation: x + (x + 1) = 3x - 1.
Step 3 :Simplify the equation: 2x + 1 = 3x - 1.
Step 4 :Subtract 2x from both sides: 1 = x - 1.
Step 5 :Add 1 to both sides: x = 2.
Step 6 :Find the next consecutive integer: x + 1 = 2 + 1 = 3.
Step 7 :Final Answer: The two consecutive integers are \(\boxed{2}\) and \(\boxed{3}\).