using System;

using System.Xml;

using System.Xml.Linq;

using System.Linq;

using System.Collections.Generic;

public class Program

{

    public static void Main()

    {

        var xmlString = @"<Root>

                            <Books>

                                <Book>

                                    <Title>Book 1</Title>

                                    <LanguageId>1</LanguageId>

                                    <Genres>2,3</Genres>

                                    <BookType>1</BookType>

                                    <Description>Lorem Ipsum</Description>

                                </Book>

                                <Book>

                                    <Title>Book 3</Title>

                                    <LanguageId>3</LanguageId>

                                    <Genres>12,23</Genres>

                                    <BookType>2</BookType>

                                    <Description>Lorem Ipsum</Description>

                                </Book>

                                <Book>

                                    <Title>Book 2</Title>

                                    <LanguageId>2</LanguageId>

                                    <Genres>1,13</Genres>

                                    <BookType>2</BookType>

                                    <Description>Lorem Ipsum</Description>

                                </Book>

                            </Books>

                        </Root>";

​

        var xmlDoc =  XDocument.Parse(xmlString);       

        var listoflanguagesIds = new List<int> { 1, 2 };

        var listofgenresIds = new List<int> { 1, 2 };

        var listofbooktypesIds = new List<int> { 1, 2 };

        var result = xmlDoc.Root

                            .Descendants("Books")

                            .Descendants("Book")

                            .Where(x => (listofgenresIds.Intersect(x.Element("Genres").Value.Split(',').Select(m => Convert.ToInt32(m))).Any()) 

                                        && (listoflanguagesIds.Contains(Convert.ToInt32(x.Element("LanguageId").Value))) 

                                        && (listofbooktypesIds.Contains(Convert.ToInt32(x.Element("BookType").Value))))

                            .ToList();

        Console.WriteLine(String.Join(", ", result.Select(m => m.Element("Title").Value).ToArray()));

    }

}