At full speed I can't tell this from "eles sempre leem a revista." Is that a mistake a native speaker could make?
At a fast speed le and leem seem similar, but A and UMA are pronounced very differently and with a little more attention you can tell them apart ;)
The "M" a the end of the words does not "close".
"Leem a" is not spoken as "leema", but as "leenha"