As I said lower down, you can take ibuprofen and acetaminophen (paracetamol) together . It’s advised you wait an hour after you take one type before you take the other to see if the first medication works well enough. There are even medications sold as a combination of both. What detrimental “synergistic effects” are you talking about?
Yeah Combogesic is an example of combined ibuprofen and acetaminophen. Advil also makes a combo of the two as well. The main issue to keep track of what you’re taking and take care that you don’t exceed the daily dose for each. That’s something to watch out for whether you take them separately or in combination with one another.