Aerodromes are not closed due to high wind; the decision to operate rests with the operator/ pilot in command. The maximum value of wind (or crosswind) is determined and promulgated by each operator, taking into account the manufacturers recommended/maximum limits.
Usually, in extreme high wind conditions, it is not the windspeed per-se that is the limiting factor, but the effect of any crosswind, turbulence, or windshear, any or all of which can be present to some degree in high wind operations.
Ground handling is an issue, also. No point in landing somewhere if the ground staff are unable to service the aircraft or operate the airbridge etc.
Typically, in my neck of the woods, the airlines start to call it quits if the wind is consistently above about 50knots, or the crosswind frequently exceeds 35. Have seen Boeings land in about 60. Not that common, though.