 Complete the following phrase:  To the south the French retook Mulhouse on 19 August and then withdrew. On 24 August at the Battle of the Mortagne a limited German offensive in the Vosges, the Germans managed a small advance, before a French counter-attack retook the ground. By 20 August a German counter-offensive in Lorraine had begun and the German 4th and 5th Armies advanced through the Ardennes on 19 August towards Neufchâteau. An offensive by French Third and Fourth armies through the Ardennes began on 20 August, in support of the French invasion of Lorraine. The opposing armies met in thick fog and the French mistook the German troops for screening forces. On 22 August the 