The first one is okay. "Together" is redundant in the second one. You assemble something by putting it together.
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PreciousJonesBut how come: http://www.englishpage.com/verbpage/pastcontinuous.html
Says that : Use the Past Continuous to indicate that a longer action in the past was interrupted.
And all the examples given are all of a past time being interrupted.
IvanhrYes. When I was at the cheese factory a few months ago I was learning how to assemble the cheese packs. (implies that your learning was still in progress a few months ago)What about: