Unable to mute advertisements in apps

As mentioned, if you’re using a free version of an app you have to deal with advertisements and any annoyance that entails. Some apps allow you to mute sound within the app which would include advertisements BUT it sounds like you are using a music app of some sort based on the comment you made about listening to music. Which means the speakers (even if diverted to headphones) are in use. Can’t mute only advertisements but still hear what you want…in this case it appears to be music. If you don’t want to deal with advertisements you will need to pay for the ad-free version of any app you are referring to if they have one. Or if it’s a music service that offers free and paid subscriptions you would likely have to buy a subscription for ad-free options. That’s not an Apple issue (and it’s not something that Android can circumvent if you are using free versions of apps and services). Unless you mean something completely different than your words seem to be explaining.

When you're using apps which are free, you have to suffer the advertisements. It's the only way the app developer can make money to keep providing the app without charge. If you want to eliminate the ads, see if the app has a paid version, which usually provides an ad free experience. And it supports the app developer, so they can continue to support the app.