If an app is being ran in 32 bit mode on a 64bit system then by all accounts it should behave like it's running on a 32bit system. I don't know Windows7 architecture all that well but I do know that a 32bit exe cannot run on a 64bit system unless that system switches to 32bit mode for it (the wow64 part of Windows - wow is short for Windows on Windows). Being in 32bit mode then it should only have access to 2^32 or ~4GB of memory.
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