Let the two consecutive integers be ( x ) and ( x + 1 ). The inequality can be written as:

[ x + (x + 1) < 46 ]

Simplifying this gives:

[ 2x + 1 < 46 ]

Subtracting 1 from both sides:

[ 2x < 45 ]

Dividing by 2:

[ x < 22.5 ]

Since ( x ) must be an integer, the largest possible value for ( x ) is 22. Therefore, the two consecutive integers are 22 and 23.