I am trying to download OS X Lion from the Apple App Store. I paid for the download, received a PDF doc (license) with a "redeem" code, and App Store said "Downloading," but I can't find the downloaded item. Where is it?

Make sure Apple give you your money back, there is no ned for them to keep on selling it

as it is available free from this link,

Apple - Support - Downloads

and has been since June 23rd this year.

The link will download the InstallMacOSX.dmg to your Downloads folder.

Open it to get InstallMacOSX.pkg.

Open that to get an installation window which does not actually install Mac OS X Lion

but creates the Install OS X Lion.app in your Application folder.

Then you can install Lion.

If it was downloaded you should either find the installer in the Downloads folder or in the Applications folder. You may find that two copies have been downloaded. How long did the downloads take?

Mac OS X 10.7 Lion has been moved to the Downloads page. It's free these days.

Mac OS X Lion Installer - Apple Downloads:

https://support.apple.com/kb/DL2077?viewlocale=en_US&locale=en_US

Read my post which above yours.

I have responded to your other pos also, have a look.

I have a Mac mini 2.1 mid 2007 running snow leopard (10.6.8) and want to upgrade to Lion (10.7) which is the last OS upgrade allowed. The requirements are met (RAM, HD space, current OS, ok processor, too old to ship with Lion). And I downloaded from apple (above url) and it goes thru all the steps, says successfully loaded, green checkmark, and nothing is changed. The compatibility check at the beginning went instantly and at the end there was no reboot and in-between takes awhile. So I am mystified what is happening with no result. Any ideas?

The mini is connected to the internet, although safari is obsolete and connections fail or poor for most sites and the download came from another computer and copied to the mini. There is nothing in the download that indicates Lion.

When we access the Apple App store using the App store icon, Safari is not used. The connection is direct. As to where your download id, have you done a search to locate it?