During the time period of 1930's-1940's-early 1950's several
Detroit/Windsor radio stations (WXYZ-CKLW)broadcast a comic team who
plugged for Conn's clothes.
The two people would joke about things like "Boxes, boxes, and more
boxes" indicating that Conn's never ran out of merchandise.
What were the names of these two people?

Greetings Kagawon:

Although I can locate no reference to Conn's, the comedy team you may
be looking for is Wayne and Schuster (Lou Weingarten and Frank
Shuster).

"During their U of T days, the fledgling comedy team was known as
Weingarten and Shuster, Frankie and Johnny, Shu and Lew and,
eventually, Wayne and Shuster...1946 saw the team return to CBC Radio,
live on Thursday nights, holding their own against the big stars on
the U.S. airwaves. In the mid-'50s, as TV developed and hungrily
grabbed onto entertainment to fill the new medium, Wayne and Shuster
guested on many Canadian and U.S. shows..."
From http://www.cbc.ca/news/obit/shuster/

I hope another Researcher will be able to confirm that this is the
comedy team you seek.

Best regards,
journalist-ga