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Well, this one is easy. There's (almost) a direct equivalent.
to make love = заниматься любовью
(literally it's something like "to be occupied/to be busy with love" or "to do love")

There's no direct equivalent, so you'll have to improvise each and every time. :dunno:
The closest word in my opinion is "драматизировать" (it's connected to "drama" too).
* драматизировать...