Thanks again léonie, sorry but this did not reveal or clear the 'non-showing 32 rejected items. I really appreciate your time and efforts on this problem, I am very pleased to be a part of such a community as we have here, people with a common bond helping one another! Great!
However, I am happy to report that I had another suggestion from GeoCo, who suggested the following:
So you are saying that the Rejected album in the Recents section of the browser indicates that there are 32 images in the album but when you click on the album nothing shows?
Makes sure that there are no flags set on the album or on the browser when the album is open. You can also do a library repair. If neither of those fix the problem post back a screen shot of Aperture with the Rejected album open and the browser active.
I did the 'library repair' as he suggested and voilà, the rejected items are gone and another project was created "Recovered Photos" in which there were 18 'lost' photos. I am very pleased. Thanks to all, Victor