Sorry for the mistake. Here are some over-ear headphones with a detachable cable and 3.5mm jack that meet your criteria:

    1. HyperX Cloud II:
    Strengths: Wide soundstage, neutral sound, high comfort, good build quality, detachable cable, 3.5mm jack
    Weaknesses: Slightly over your budget
    Faults: None
    Certainty: High

    2. SteelSeries Arctis 7:
    Strengths: Wide soundstage, neutral sound, high comfort, good build quality, detachable cable, 3.5mm jack
    Weaknesses: Slightly over your budget
    Faults: None
    Certainty: High

    3. HyperX Cloud Stinger:
    Strengths: Wide soundstage, neutral sound, high comfort, good build quality, detachable cable, 3.5mm jack, good value for money
    Weaknesses: None
    Faults: None
    Certainty: High

These headphones have received positive reviews and are widely considered good options by experts in the field.
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