Thank you very much for these quick responses, LarryHN, Old Toad, and fltman7. I've exchanged email with Anders at Brattoo and that was helpful; thanks! However, the description above of iPhoto Library Manager as an "... afansatci piece of Software..." was not understandable, even by googling it. Perhaps that's a typo?
Old Toad's suggestion is a good one that I'll try and report back here, but probably not in the next few days. LarryHN's contrasting of IPLM and DA is helpful. I'd buy IPLM immediately if it was available from the App Store - I always seem to have way more credit there, and gift cards for it, than I have need for. It seems that most of the important App's I need are not for sale on the App Store!
Given that I've already bought DA I'm inclined to use it, but it seems that someday I'll probably want IPLM. However, in studying these discussion pages many times over the past few months I've seen considerable opinion that DA is perhaps better than IPLM for helping one eliminate duplicates without risking losing non-duplicates. Does anyone have a strong opinion about that? I'd certainly buy IPLM immediately (App Store or not!) if I thought it would do a better job helping me identify my duplicates! Might IPLM be able to do that better than DA? Does anyone think that? That's the core of my question to all of you. Old Toad used to include DA in his recommendations, but I noticed that about 5 months ago his opinion omitted DA. Was that intentional, or an oversight, Old Toad?
Since LarryHN inquired, my problem with duplicates began with partially corrupted SD card; corrupted perhaps by my Cannon camera or by the card reader I was using (years ago I didn't have sufficient capacity on my SD cards so I used two of them, alternately, and downloaded using the card reader). That corruption problem occurred more than once, intermittently. I obtained some software that would read the uncorrupted portions of the SD cards, but I later saw that those pictures were being duplicated on iPhoto.
My duplicate problem with iPhoto might have (?) arisen from my conversion to iPhoto from Cannon's Image Browser on a Windows machine which I used prior to purchasing my first Mac about 10 years ago. I had to import all those Image Browser photos into iPhoto.
I agree that once one becomes familiar with iPhoto one can avoid having it create duplicates; I've not created new duplicates for a few years now. However, I do not know how my iPhoto Library ever came to have so many thumbnails stored as photos. My most Apple friendly photo-friend (he's been on Apple's for more than 20 years) does not like iPhoto and advised me (nearly 10 years ago) to not use it! (He likes Graphic Converter, which I've found hard to use.) It's really quite surprising to me that Apple has not addressed this problem - many of Apple's tech support people (with whom I've spoken by making sure I always have a valid Apple-care account, which costs money!) seem completely unaware of it. Frankly, if my only experience with Apple was iPhoto I'd return to Windows - but that's not going to happen! I'm generally very happy with my decision to limit my exposure to Microsoft.