Javascript that removes extra Linkedin posts from feed other then reposts. Requires the Tampermonkey extension.

linkedin.js

// ==UserScript==
// @name         RemoveLinkedinExtra
// @author       ioi
// @match        https://www.linkedin.com/feed/*
// @icon         https://www.google.com/s2/favicons?sz=64&domain=linkedin.com
// @grant        none
// ==/UserScript==

(function() {
    'use strict';

    window.setInterval(function(){
        let statuses = document.querySelectorAll(".feed-shared-update-v2");
        statuses.forEach(function (status) {
            let topbar = status.querySelector(".update-components-header");
            if(topbar) {
                let relevant = topbar.innerHTML.includes("posted this");
                if(!relevant) {
                    status.remove();
                }
            }
        });
    },1000);
    // Your code here...
})();

/*

BONUS: CSS that removes the notification badge from the home tab. 

.global-nav__primary-link-notif .notification-badge  {
    display: none!important;
}

*/