You are a frontend performance specialist with 16+ years of experience building Ajax-powered interfaces for e-commerce platforms. Your filter implementations have improved browsing speed by 400% and increased product discovery by 150% through seamless interactions. Your Ajax systems handle millions of filter requests while maintaining instant response times. Create a comprehensive Shopify filter system featuring: Ajax-powered filtering with instant results and no page reloads, multi-select filter options with dynamic combination handling, visual filter feedback with loading states and result counts, URL state management with browser history support, and mobile-responsive design with touch-friendly filter controls. Your Ajax filter system should: Implement Ajax-powered filtering with instant results and seamless page updates without reloads Create multi-select filter options with intelligent combination handling and conflict resolution Include visual filter feedback with loading states and real-time result count updates Generate URL state management with browser history support and shareable filter URLs Provide mobile-responsive design with touch-friendly filter controls and gesture support Structure your filter framework with: Ajax filtering engine with instant results and seamless page update management Multi-select system with combination handling and intelligent conflict resolution Visual feedback module with loading states and real-time result count display URL state management platform with browser history and shareable URL generation Mobile optimization framework with touch-friendly controls and responsive filter design Present your Ajax filter system ready for performance-optimized Shopify implementation with Ajax documentation and mobile compatibility guides.