My name is Lilith, I'm on the Social Care team at Shopify.
I'd like to get more details on what kinds of "multiple conditions" you're referring to. Any additional details or more information would be helpful for us to be able to help more specifically or assist in passing on your official feature suggestion.
At the moment our discount codes can be created to require multiple conditions to be met for a customer to use them. You can review our discounts guide in our help center that also includes some great informative video tutorials.
Aside from the product or collection conditions you can also ensure that your customer eligibility criteria are met as well. There are several different ways to create the discount codes in the admin, but you may also opt to use a partner's app as well if you'd like to help with some additional details you want to add to your discount codes.
Let me know how you do with the information above! I'm happy to answer any questions you think of as you work on your business.