1.   She overreaches in her latest book, and her argument is not convincing.

2.   His argument did not convince his opponents.

3.   But the arguments did not convince.

4.   His arguments are not convincing, however.

5.   Neither argument is entirely convincing.

6.   Neither argument is particularly convincing.

7.   Of course, these arguments would convince neither Gore nor Bush to change their firm opposition to the death penalty.

8.   The arguments offered are convincing.

9.   Those arguments are not convincing to lawmakers, however.

10.   Whether this argument will be convincing, legally or politically, is impossible to predict.