Most phones can't connect both wired and Bluetooth headphones at the same time because they use different audio output methods. In general, when you plug in a wired headset, the phone will automatically choose to output an audio signal to the wired headset, regardless of whether you try to connect a Bluetooth headset.
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If you try to connect a Bluetooth headset, the phone will usually automatically turn off the wired headset and switch to the Bluetooth headset. In some cases, you can manually disconnect the wired headset and connect the Bluetooth headset. However, in any case, the phone can only choose one output audio signal to the headset.
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It should be noted that if your phone has 2 headphone jacks, such as some models of Huawei phones, you can actually use both wired and Bluetooth headphones. In this case, you can plug in a wired headset to one port and connect a Bluetooth headset to another port to use different headphones at the same time. But this is very rare, most smartphones only have one headphone jack, and do not support the use of both wired and Bluetooth headsets.