I read that Apple removed the headphone jack, so how do I listen to music, videos, and podcasts on my iPhone 7 Plus?

Have you use another headphones insteading of your Sony headphones to have a try? Make sure it is not the problem of headphone, then you may need a headphone jack replacement to replace the old one.
I've also met this situation with my phone. Finally I found the right
Headphone Earphone Audio Jack Flex Cable for Samsung Galaxy S4 i9500 to solve this problem. You can also look for one repair part for your phone, then find a video following to fix. It is easy to make it. Hope it can help.

there is probaby something stuck inside the speakers. take it to a phone repair shop and they can fix it for you

Please New Software install in the Phone Problem will Solved

smoething like that happened to me. do you wrap your headphones around the Ipod when you're not using it? The connections inside the headset can break if you do that, and if its not the headset, then it is likely that something in the general vincinity of the headphone jack is loose.

this is cheapest way to go with this issue that i have come across . it will use a dock connector line out to male audio the next is audio female to female coupler . basically you are bypassing your audio jack out to listen through your dock connector .

http://www.amazon.com/FiiO-L3-Line-Cable-iPhone/dp/B003UCESP8/ref=sr_1_74?s=electronics&ie=UTF8&qid=1287180335&sr=1-74

http://www.amazon.com/GTMax-Plated-Stereo-Coupler-Female/dp/B003J9MYMQ/ref=sr_1_8?s=electronics&ie=UTF8&qid=1287180527&sr=1-8

if you want to have it repaired here is two links

http://www.apple.com/support/ipod/service/prices/

http://store.ifixipodsfast.com/ipod-parts-/-installation/ipod-video/ipod-video-headphone-jack-/-hold-switch/prod_69.html

Unfortunately, the iPhone doesn't (yet) have such capability built-in. But engaging the iPod function to listen to music/video audio while a call is taking place will allow you to hear said audio. Obviously this is not an ideal solution. If your phone is jailbroken, there is a tweak to enable music to be played through the bluetooth headphones but it is low quality.

hi. i can help you. begin by cleaning out the little hole your ear buds plug into. Carefully clean the jack hole with a needle or a tough pick. It allowed me to remove a lot of cotton like dust. if that doesnt solve it go into your phone menu under audio settings and see if you have adjusted the balance to cause your problem.
also, You can try removing any debris that might be in the headphone jack by plugging and unplugging the headphones a few times.
If the issue is not caused by debris in the headphone jack, request repair/replacement of the Apple Earphones with Mic online here: https://selfsolve.apple.com/GetWarranty.do

You can also request service by making a reservation with a Genius here: http://www.apple.com/retail/geniusbar/or call AppleCare U.S. iPhone technical support at: 1-800-MY-IPHONE (1-800-694-7466)

If you wrap the headphone around your iPod, after a while, it may bend a pin in the headphone jack, causing no contact to be made, therefor one side of music. You can try to bend it back with a pin, or order a new ******** www.ifixitcom.

Yea it sounds like the headphone have a sync problem. what you can do i go the Apple store and they should help you out they will swap your headphones and then it should work.
Thank you, Apple Care Technical Support

Found this. Still didn't tried:
http://www.luckow.com/iphone/