php - Laravel Eloquent whereIn with where inside relationship

I have an relationship structure like this:

PlacehasMany ServiceServicebelongsToServiceType

I'm trying to filter it byServiceType, but i always get a error trying various types saying that the table or view doesn't exist.

$place = Place::with('services.serviceTypes')->whereIn('id', $ids)
->where('services.serviceTypes.id', $id)->get();
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or

$place = Place::with('services.serviceTypes')->whereIn('id', $ids)
->where('services.service_types.id', $id)->get();
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returns the same exception.

Models:

Place:

namespace App;
use Illuminate\Database\Eloquent\Model;

class Place extends Model {  

    public function services(){
        return $this->hasMany('App\Service');
    }

}
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Service:

<?php

namespace App;

use Illuminate\Database\Eloquent\Model;

class Service extends Model {

    public function serviceType(){
        return $this->belongsTo('App\ServiceType');
    }


}
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ServiceType:

<?php

namespace App;

use Illuminate\Database\Eloquent\Model;

class ServiceType extends Model {

    public function services() {
      return $this->hasMany('App\Service');
    }
}
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Thanks