Remove elements from array except particular one

I have two arrays. First one is an array of indexes and second one is an array of objects. They look like this:

var nums = [0, 2];
var obj = [Object_1, Object_2, Object_3];

In this particular case I need to remove all "obj" elements except obj[0] and obj[2]. So the result will look like this:

obj = [Object_2]

There are also may be cases when nums = [0, 1, 2] and obj = [Object_1, Object_2, Object_3]; In that case I dont need to remove any elements.

The "obj" length is always greater than "nums" length.

So I started with finding only the elements that I need to save:

nums.forEach(function(key) {
    obj.forEach(function(o, o_key) {
        if (key === o_key) {
            console.log(key, o);
            // deleting remaining elements
        }
    });
});

The question: How can I remove elements that dont meets my condition? I dont need the new array, I want to modify the existing "obj" array. How can I achieve this functionality? Or should I use some another techniques?